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

1. B. v=(6,-2)

2. A. ||V||=2sqrt10

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

4. A. 6,500 ft, no discount

Answer 2

ANSWER

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

EXPLANATION

The given vector is

$w = < - 3,5>$

The component form of vector w, is calculated by subtracting the terminal position vector from the initial position vector.

With A(6,-4) being the initial point and B(3,1) the terminal point,

$w = < 3,1 > - < 6,- 4 >$

Subtract the corresponding components.

$w = < 3 - 6,1 - - 4 >$

$w = < - 3,5>$

The last option is correct.