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Write each combination of vectors as a single vector.$$(a) \vec{P Q}+\vec{Q R}$$$$(b)$$$$\vec{R P}+\vec{P S}$$$$(c)$$$$\vec{Q S}-\vec{P S}$$$$(d)$$$$\vec{R S}+\vec{S P}+\vec{P Q}$$
a) $\overrightarrow{P R}$b) $\overrightarrow{R S}$c) $\overrightarrow{\varnothing P}$d) $\overrightarrow{R Q}$
Calculus 3
Chapter 8
Vectors and Matrix Models
Section 2
Vectors
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Okay, So the initial point of Hugh Mars position of the terminal point of PR. So by trying the law of the Somme off peak you plus you are it's equal to the vector with initial point P and terminal point, our says p r. Rights, that's part a four for part B by the trying the law R p So are we plus PS PS is simply the vector rs o r s right? It's the next you have apart. See, So we have qs minus P s. So first we consider us minus P s as que es plus negative gs since native yes is the same length is PS but points in the opposite direction we have naked PS is equal to P s So therefore us minus p s could be viewed ist us plus p s which is just equal to Cuba. This is equal to que pique part c and finally party. We have rs plus SP plus speak You so using the trying law twice. So if we have Rs plus s p s p plus p Q so you've been trying to love twice the first part So R s plus s P is equal to you, r p plus p Q, which is equal to our cute
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