Find the components of a vector a whose initial point is $( 1 , - 1,3 )$ and terminal point is $( 4 , - 3,5 )$ .
A) $\{ 1 , - 1,3 \}$
B) $\{ 4 , - 3,5 \}$
C) $\{ 3 , - 2,2 \}$
D) $\{ 5 , - 4,8 \}$
E) $\{ - 1,1 , - 3 \}$
F) $\{ - 4,3 , - 5 \}$
G) $( - 3,2 , - 2 \}$
H) $( - 5,4 , - 8 \}$

Question

Find the components of a vector a whose initial point is $( 1 , - 1,3 )$ and terminal point is $( 4 , - 3,5 )$ .
A) $\{ 1 , - 1,3 \}$ 
B) $\{ 4 , - 3,5 \}$ 
C) $\{ 3 , - 2,2 \}$ 
D) $\{ 5 , - 4,8 \}$ 
E) $\{ - 1,1 , - 3 \}$ 
F) $\{ - 4,3 , - 5 \}$ 
G) $( - 3,2 , - 2 \}$ 
H) $( - 5,4 , - 8 \}$

Quizplus · Accepted Answer

The components of a vector can be found by subtracting the coordinates of the initial point from the coordinates of the terminal point. Thus, for a vector with initial point $(1, -1, 3)$ and terminal point $(4, -3, 5)$, the components are $(4-1, -3-(-1), 5-3) = (3, -2, 2)$.

Find the Components of a Vector a Whose Initial Point (1,−1,3)( 1 , - 1,3 )(1,−1,3)

Find the Components of a Vector a Whose Initial Point $( 1 , - 1,3 )$