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

Question

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

Quizplus · Accepted Answer

To find the terminal point of a vector given its initial point and its components, you add the components of the vector to the coordinates of the initial point. Thus, the terminal point is $(1 + 4, 1 - 3) = (5, -2)$.

Find the Coordinate of the Terminal Point of a Vector a=⟨4,−3⟩\mathbf { a } = \langle 4 , - 3 \ranglea=⟨4,−3⟩

Find the Coordinate of the Terminal Point of a Vector $\mathbf { a } = \langle 4 , - 3 \rangle$