Question
The vector has initial point and terminal point Q. Write in the form alThat is, find its position vector;P=(3,3, 5); Q=(6,4,0)v=ai + bj ck whereb =and c= (Simplify your answers Type exact values, using fractions and radicals as needed_ Type shown explicitly when writing vector in terms of its componentsor 0 when appropriate_ even though these - values are not usually
The vector has initial point and terminal point Q. Write in the form al That is, find its position vector; P=(3,3, 5); Q=(6,4,0) v=ai + bj ck where b = and c= (Simplify your answers Type exact values, using fractions and radicals as needed_ Type shown explicitly when writing vector in terms of its components or 0 when appropriate_ even though these - values are not usually
Answers
The vector $\mathbf{v}$ has initial point $P$ and terminal point $Q .$ Write v in the form $a \mathbf{i}+b \mathbf{j}$; that is, find its position vector. $$P=(0,0) ; \quad Q=(-3,-5)$$
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In this fusion, it is saying that there is a vector we who have initial point and initial points coordinate is given that is point named as given that sp and initial point is given once coordinate is given that is zero comma zero, comma zero. And now in the question whether it is saying that victor we has a terminal point name days that is Q. And coordinates are given in the fusion. That is yeah minus three coma minus five coma four. Now in the occasion it is asking that we have to find position vector in a vector forum. So let's start answering this fusion. So first uh if john ella for more position, rector will be witness in the vector forum, I can say that it will eat in the cities F to minus X one I plus by two minus +51 jay plus they had to manager one. Okay, so this will be used when a. I consider that there is a vector. Any vector whose initial point and terminal point is given that his initial point is coordinate of the initial point is here. I considered that is X one comma one comma german and uh 10 minute point is terminal points communities. That is X two comma two comma two. Then I will write this portion victory in this general factor for him. So no minuses. Tabish. We have to use the given data so I can see that initial point will be written as studies here. X and Y one. German will become Daddy's after using the given coordinators. So I consider it. This will become zero comma zero, comma zero. And now after Y two, J two will become that is minus three coma minus five, comma four. So now negative is for the data in about first line. So I will get the position vector of given vector that is weak. Is equal to extra minus. Excellent. That means minus three coma. Sorry minus three minus zero. I plus why? To minus five? And that means five minus zero minus five minus zero J. Plus you had to manage anyone that means zero for minus zero. Okay so simplify it then I will get the answer for portion Rector. Okay. Of given vector weed? Yeah that is equal to monastery. Monastery will get at his monastery. I plus minus five minus zero will do that is minus five J. And uh four minutes zero will go. That is four. Okay so you can see that I had written the portion vector in a vector format vector former. So this is the answer of given occasion. Thank you.
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In this solution. The given that is that is there is a vector we is given and this vector we has two points. That is first point given that his initial point named as that is point B. And the coordinates is human. That is monastery comma two, comma zero. And now second point is human that is terminal point named studies Q. And the coordinates issue and that is six coma coma minus one. No indication. Finally, it is asking that we have to find fortune vector. Mhm of the one vector we So let's start answering this question. So general Panama portion record will be eternal studies. Yeah, yeah. X two minus X one I plus Y tu minus Y one J. Yeah plus year to manager one day. So he had X one by one. GB one is here coordinate of the initial point. So by looking the data, I can say that that will become that is Monastery comma two comma zero and actually Y two J two is a coordinator of terminal point. So I consider it again. Looking the data answer is that is that will become 36 comma five comma minus one. So no novice to bees. This substitute this data look mm Yeah then I will get the fashion director of the one vector so that will be equal to mhm. That is X two minus Excellent. I will be written in studies six minus minus become plus three I plus Y tu minus Y one dead miss five minus two. J. Plus there to manager one K. Will be written in studies minus one. When is your? Okay so simplified the components so it will be organized. Studies question director of we will be equal to components are that is six plus three will be written in 39. I plus five ones too well written and 33 J and minus one minus zero. will recognize that is minus K. So I considered the portion rector off vector of we will return to studies nine I plus three J minus K. So this is the answer. Thank you.