4. Determine the magnitude and direction of the vector v = <5, -6>. f. 11, NE
g. 61, SE
h. 111, NE
j. V61, SE

The magnitude of vector is:

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  

Step-by-step explanation:

Given the vector

v = <5, -6>

Determining the magnitude of the vector

To find a magnitude of a vector v = (a, b) we use the formula

Magnitude of the vector is basically termed as the length of the vector, which is denoted by

Thus, the magnitude of vector is:

As the vector v = <5, -6> lies in 4th quadrant.

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  

step-by-step explanation: