Pt. 2 How to plot a Vector, Find Magnitude, and Direction Angle


Here we will continue deeper into Vectors and actually plot one and discuss the formulas needed reveal the length (magnitude) and Theta (direction angle). I will solve a question by providing a 2d Vector from the given plots and also using the new found Vector to discover it’s length and angle.  It is a very straight forward lecture in this series but none the less important before moving on. If there are any questions please feel free to contact me.

“How shalt thou hope for mercy, rend’ring none?” – A take on the final act in Shakespeare’s The Merchant of Venice.


Film adaptation starring Al Pacino, Ralph Fiennes, Jeremy irons, and a very good supporting cast  Project Gutenberg full version of play for download (go ahead and educate yourself ) Or read an abbreviated synopsis (not recommended) 

        In this, the crescendo of the play,  Shylock is pursuing the last and most vengeful blow he can make onto Venetian society and onto his enemy Antonio in particular. He has been, up to this point, treated as an animal (whom the Venetians still use his “barbarian” services well enough) in the city, he is spat upon by merchants, dehumanized and criticized by all, and finally he is robbed by his very daughter. And in her treachery she has taken from him two bags of ducats and various jewelries that include a ring given to him from his late wife. Worse yet his daughter, as it has been told by Tubal, has thoughtlessly traded that ring for a monkey (Act 3.1.16) and fled with a Christian man (whom is party with Antonio {ironic}) and has denounced Judaism to convert to Christianity. Shylock is left in a state of severe shock and probably views the killing of Antonio as the last move he can make against his unrelenting enemies. His vindication would serve two purposes: on the one hand he can deliver a crushing blow to the one whom has terribly mocked him in public and caused him great pains. And secondly he can lash out at the Venetian people and use their own laws against them to claim one of their own. 

               The vengeful usurer enters the courtroom alone to claim an award of the forfeiture on the bond previously made by himself and the defendant, Antonio. He is pleaded by the Duke of Venice to display mercy for this act and bring the dispute to a peaceful end (Act 4.1.17) but Shylock is inconsolable. He will have only the blood debt written in the bond, even when offered three times the amount he steadfastly refuses (Act 4.1.86). The matter seems to bode unfavorably of the Venetian unless the doctor of law from Padua that the Duke has sent for can determine the legality of the claims presented by shylock. That doctor has sent an emissary in the form of Portia who is heavily disguised as Balthazar the lawyer. Immediately the facts are presented in the case and in the strict order of the law (at Shylocks urging) the penalty is at last legally binding to Antonio. One last time a plea for mercy and an award of three times the ducats loaned is offered if only Shylock would reconsider (Act 4.1.239). 

               Here, blinded by pure hate he chooses only the revenge that is prescribed in the bond. And the reward for his hate and discourse for the Christians is that he is allowed to cut out the pound of Antonio’s flesh. And as the tension builds and Shylock can almost grasp his victory he is halted and burdened by a surprise technical aspect of the very law that would free him to do his will. In his haste he had secured the bond and not explicitly ensured the safety of Antonio during the excising of his flesh with the supervision of a surgeon. For this he is only to remove the noted pound of flesh as per the agreement and since he did not list any detail about blood he can only take the flesh. This means if his cut yields any more or less of the said pound or possesses a mere drop of blood then he will be sentenced to death and his wealth confiscated. So in his blind hatred, he has overlooked a technical caveat that has threatened his revenge. Faced with these impossible terms he then recants his wish to cut Antonio’s body in exchange for the sum previously offered. The lawyer refused his request and says that he will only receive the justice he most desperately wanted. Shylock then decides to drop the case and leave but is further detained for another infraction that he caused earlier due to his preoccupation with revenge and hatred. 

               He had originally made the bond under the false terms that he would not seek Antonio’s death or the pound of flesh; he said it was a “merry sport” and an act of “friendship” (Act 1. 3. 172). His appearance in court now is in direct conflict of the terms he had agreed upon earlier, and for that he has conspired to take a citizen’s life while he himself is considered an alien. In Venice this carries a sentence of death and confiscation of all wealth. He is pardoned by the Duke for his life and is fined. The other claimant in the case is the newly freed Antonio, he will let Shylock keep his wealth and home if he upon his death he relinquishes his money and title to his daughter and her new husband. And perhaps the most devastating of all the sentences is that he requires Shylock to renounce Judaism and become a Christian. This effectively “kills” Shylock as a human and transforms him into another being, one which he greatly loathes. 

               By the end of the court scene my initial reaction was to empathize with Shylock. He was dealt an underhanded blow that may well have been pre-prepared for him before he entered that court room (the Duke expressed his ability to dissolve this case at his will if he thought it appropriate Act 4.1.105). And for all the wanton usage of wholesale prejudice against him, his award in the case seems like a fitting prize. But that same emotion that caused me to take up Shylocks plight has fostered the very undoing of him altogether. He is not a noble character turned bad but a vehicle to propagating the evil deeds of men while hiding behind lofty tenets. 

               Throughout the play he has schemed and hoped for a downfall in his enemy so that he could be advantaged by it. He has consumed himself with rectifying all the wrongs he perceives as being done to him and his people so unfairly. He has become a living expression of the object of his rage and now is fully consumed because of it.  This has caused him great many disservices along the way. He has lost his daughter to a Christian whom has taken her away and with her countless ducats and jewelry that are being spent most frivolously. He is not being paid back the money he loaned Antonio (had he not been seeking revenge, would he have openly loaned so much as to have to compile it from another usurer under the known circumstances of the borrower? What of Tubal? Will he be paid back now?). And finally he is being deprived his most coveted revenge and having it replaced with crippling sanctions that are placed on him that effectively “kill” any semblance of his known lifestyle and humble him more severely than he could have imagined. 

               I feel the moral of the court scene is not so reliant on the question of prejudice versus privilege or mercy and justice but more on the righteousness of a person’s spirit. This act has clearly demonstrated that intolerance only breeds more intolerance; and these parents can only bear ill fruit. Nothing good can become of either the Venetian’s conduct or the conduct of Shylock. The only way to relieve this cycle would be to remove what it feeds on. And in this case the compounding of ill will and violence are what have been the root causes for all the trouble both sides suffer. It is always easy in theory to explain the path to resolution for these situations but the choices that people make will have an effect unforeseen in their futures and when made under the duress of reality they seem a bit easier to condone in the form of revenge. I think that justice was ultimately served in the case but not to the liking of either party. The ignorant and pompous Antonio was spared his life and must realize how close he had come to death by way of his bigoted manner. This would most likely serve him to be reminded of what is possible due to his actions and to take care in what he says and agrees to based on feeling superior to anyone. But through his very living will lose a friend he seemingly does not want to share. And he will be lonely as Bassanio and his new wife have each other. Shylock’s justice comes to him in the form of being completely removed from everything tainted with his ways of vengeance. He can no longer live the same life that affords him the time and pleasure to conceive his views on Christians and Jews. He is also no longer among the same crowd of lenders who may feed his hatred. And lastly he has been removed from his very daughter because of his ways. He may now gain a more level perspective about his life’s direction and decide what is most important to him. I think that for the condition the characters entered with respect to their abilities they have left better for the experience.

A study of the speaker in Sir Walter Raleigh’s “The Nymph’s Reply to the Shepherd”’s_Reply_to_the_Shepherd

 DISCLAIMER!!!!!!!!!!    [ Make sure you guys read this first (unless you already know it :)]

This is an essay that dwells on a work by Sir Walter Raleigh. I found myself entranced by this selection’s eloquence and delicate beauty of form and structure. Below is my take on the point of view the poem is built around and hopefully demystifies any cryptic verbal passages therein.

The “speaker” in Raleigh’s poem is a nymph that is having a conversation with a shepherd about the state of the world as it is. This is a very interesting poem for me because it has so many implied meanings about the way the world has shirked its youthful innocence and become a little too hardened for the tastes of the nymph. It is my belief the nymph portrays; fancy, love, romance, playfulness and fantasy. These are all the common thoughts that lift us all out of the mire that can be our physical reality. I believe Raleigh is using this language to connote a longing for the world to be very much the poetic and emotional environment that exists only in the minds of writers, children, and lovers. This beautiful poem is brought to life with the use of many metaphorical implications that convey the authors meaning in a muted and understated way.

               The nymph articulates to the shepherd within the first stanza that the world is no longer young nor its inhabitants truthful. She goes on to mandate that if these obstacles could be overcome then she may be inclined to love the world and the shepherd again.  These statements speak to the way of the natural world we live as humans. Notions of these delicate tenets are not the practiced law of the land and we as shepherds have done much deceit to propagate our own existence at the cost of paradise on earth.

               Following the lead stanza the poem develops further on the idea of the comparison of nature and its seasons with the knowledge that everything will die or at its very least fade. In such lines as “Time drives the flock s from field to fold, when rivers rage and rocks grow cold” there is a melancholy sense that an era is passing and will be marked by a future that is uncertain in terms of its predecessor.

               The third stanza is speaking about a relationship and how it withers in the winter’s onset. It draws contrast from the waning of the fields by also explaining the symptoms of spring and its refreshing and renewal factor in life. This alludes me to believe the stanza speaks about the possibility of the fear of losing an older love to a new fresher more youthful lover.

               “Thy gowns, thy shoes, thy bed of roses, thy cap, thy kirtle and thy posies / Soon break soon wither, soon forgotten – in folly ripe, in season rotten” This is especially powerful verse in the prose. Here the descriptors are not metaphorical or implied but plainly stated and relatable to everyday life. In this stanza the feelings of the nymph are concrete and final. She knows that all the earthly items of love and womanhood are doomed to be loved less over time. She is saying that the way in which the shepherd acts now is not an honest reflection on the way he will act in future days and this is merely an act of lust not love.

               In the second to last stanza there are some comparisons made that relate nature’s beauty to a thing of ornate jewelry that is customarily given to ones lover and is symbolic of their commitment. The nymph is saying that these things cannot dissuade her to fall in love merely in and of themselves.

               During the last stanza the nymph mandates what would need to be done for her to love the shepherd. She wants everlasting youth, undying love and the bliss of wonderment for eternity. These commitments speak for the underlying thoughts in every lover when they want to be sure that their mate is feeling the same way as they do. This is the common link in all relationships at one point or another. I think that both parties know the answer to their problems at this point. It seems folly to believe these things can come true in any other realm than ideal.

               In this poem are many contemporary and basically human references that imply to our fondness of natural beauty and the change of the seasons and how it correlates with our lives. To me this poem can be construed in any number of ways, but considering that my reading is the closest to the author’s actual intent then I believe the poem is about earth and humanity. I think Raleigh is writing about the loss of innocence and the ideas of whimsy and love that go missing throughout the routine of our lives. I believe he wants to encourage the reader to embrace the simple beauty of life and make a marriage to the idea that we all need to be grounded and realize there are many beautiful things in our surroundings and make every opportunity to appreciate these less logical and inspiring moments. This is an almost tragic poem and maybe intentionally requires one to act in defiance of the terms it defines in its structure. I greatly enjoyed this reading and found it to be one of my more favorite selections.