Represent Vectors in the Rectangular Coordinate System
-$$\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 5,6 )$$
A) $\mathbf { v } = - 5 \mathbf { i } + 6 \mathbf { j }$
B) $\mathbf { v } = 6 \mathbf { i } + 6 \mathbf { j }$
C) $\mathbf { v } = 5 \mathbf { i } - 6 \mathbf { j }$
D) $\mathbf { v } = - 6 \mathbf { i } + 5 \mathbf { j }$

Question

Quizplus · Accepted Answer

The vector $\mathbf{v}$ from $P_1$ to $P_2$ is found by subtracting the coordinates of $P_1$ from $P_2$, resulting in $(-5 - 0)\mathbf{i} + (6 - 0)\mathbf{j} = -5\mathbf{i} + 6\mathbf{j}$.

Represent Vectors in the Rectangular Coordinate System - P1=(0,0);P2=(−5,6)\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 5,6 )P1​=(0,0);P2​=(−5,6)

Represent Vectors in the Rectangular Coordinate System
- $\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 5,6 )$