Answer:
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.

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.
