Represent Vectors in the Rectangular Coordinate System
-$$\mathrm { P } _ { 1 } = ( - 1,2 ) ; \mathrm { P } _ { 2 } = ( 4 , - 4 )$$
A) $\mathbf { v } = 5 \mathbf { i } - 6 \mathbf { j }$
B) $\mathbf { v } = - 6 \mathbf { i } + 5 \mathbf { j }$
C) $\mathbf { v } = 2 \mathbf { i } - 3 \mathrm { j }$
D) $\mathbf { v } = - 3 \mathrm { i } + 2 \mathrm { j }$

Question

Quizplus · Accepted Answer

To find the vector $\mathbf{v}$ from $P_1$ to $P_2$, subtract the coordinates of $P_1$ from $P_2$: $v = (4 - (-1), -4 - 2) = (5, -6)$, which corresponds to $5\mathbf{i} - 6\mathbf{j}$.

Represent Vectors in the Rectangular Coordinate System - P1=(−1,2);P2=(4,−4)\mathrm { P } _ { 1 } = ( - 1,2 ) ; \mathrm { P } _ { 2 } = ( 4 , - 4 )P1​=(−1,2);P2​=(4,−4)

Represent Vectors in the Rectangular Coordinate System
- $\mathrm { P } _ { 1 } = ( - 1,2 ) ; \mathrm { P } _ { 2 } = ( 4 , - 4 )$