Question

Vector w has a component form of (-3,5). Which of the following could be the initial point A and the terminal point B of vector w?

Answer 1

(6 - 3 , -4 + 5) = (3, 1)

Its D

Answer 2

The initial and terminal point of point A and B are:

A(6,-4) and B(3,1)

Explanation:

We are given vector w as:

w<-3,5>

i.e. the vector w is expressed as:

w= -3i+5j

Now when the initial point is:

A(6,-4) i.e. A is : 6i-4j

and the terminal point is: B(3,1) i.e. B=3i+j

Then the vector w is expressed as:

3i+j-(6i-4j)= -3i+j+4j

= -3i+5j

i.e. the vector w is: <-3,5>