Represent Vectors in the Rectangular Coordinate System
-$$\mathrm { P } _ { 1 } = ( 2,6 ) ; \mathrm { P } _ { 2 } = ( - 6 , - 1 )$$
A) $\mathbf { v } = - 8 \mathbf { i } - 7 \mathbf { j }$
B) $\mathbf { v } = - 7 \mathbf { i } - 8 \mathbf { j }$
C) $\mathbf { v } = 8 \mathbf { i } + 7 \mathbf { j }$
D) $\mathbf { v } = 7 \mathbf { i } + 8 \mathbf { j }$

Question

Quizplus · Accepted Answer

To find the vector $\mathbf{v}$ from $P_1$ to $P_2$, subtract the coordinates of $P_1$ from $P_2$: $(-6 - 2, -1 - 6) = (-8, -7)$, which corresponds to $-8\mathbf{i} - 7\mathbf{j}$.

Represent Vectors in the Rectangular Coordinate System - P1=(2,6);P2=(−6,−1)\mathrm { P } _ { 1 } = ( 2,6 ) ; \mathrm { P } _ { 2 } = ( - 6 , - 1 )P1​=(2,6);P2​=(−6,−1)

Represent Vectors in the Rectangular Coordinate System
- $\mathrm { P } _ { 1 } = ( 2,6 ) ; \mathrm { P } _ { 2 } = ( - 6 , - 1 )$