Find the components of a vector a whose initial point is $( 1,1 )$ and terminal point is $( 4 , - 3 )$ .
A) $\langle 1,1 \rangle$
B) $\langle 3 , - 4 \rangle$
C) $\langle 4 , - 3 \rangle$
D) $\langle 5 , - 2\rangle$ `
E) $\langle - 1 , - 1 \rangle$
F) $( - 3,4 )$
G) $( - 4,3 )$
H) $( - 5,2 )$

Question

Find the components of a vector a whose initial point is $( 1,1 )$ and terminal point is $( 4 , - 3 )$ .
A) $\langle 1,1 \rangle$ 
B) $\langle 3 , - 4 \rangle$ 
C) $\langle 4 , - 3 \rangle$ 
D) $\langle 5 , - 2\rangle$ `
E) $\langle - 1 , - 1 \rangle$ 
F) $( - 3,4 )$ 
G) $( - 4,3 )$ 
H) $( - 5,2 )$

Quizplus · Accepted Answer

The components of a vector are found by subtracting the coordinates of the initial point from the coordinates of the terminal point. Thus, for the terminal point $(4, -3)$ and the initial point $(1, 1)$, the components are $(4-1, -3-1) = (3, -4)$, which corresponds to $\langle 3, -4 \rangle$.

Find the Components of a Vector a Whose Initial Point (1,1)( 1,1 )(1,1)

Find the Components of a Vector a Whose Initial Point $( 1,1 )$