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# Vectors: Initial Point 1 & 2

+5
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Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. P1= (-1,2), P2= (-9,-5)

Guest Mar 3, 2017
#1
+87333
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v = P2 - P1 =   < (-9) - (-1),  (-5) - (2) >    =   < -8, -7 >  =  -8i - 7j

CPhill  Mar 4, 2017
#2
+19653
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Let v be the vector from initial point P1 to terminal point P2.

Write v in terms of i and j. P1= (-1,2), P2= (-9,-5)

$$\begin{array}{|rcll|} \hline \vec{v} &=& \vec{P_2} - \vec{P_1} \\ \vec{v} &=& \binom{-9}{-5} - \binom{-1}{2} \\ \vec{v} &=& \binom{-9-(-1)}{-5-2} \\ \vec{v} &=& \binom{-9+1}{-5-2} \\ \vec{v} &=& \binom{-8}{-7} \\ \vec{v} &=& -8\cdot i -7\cdot j \\ \hline \end{array}$$

heureka  Mar 6, 2017