Question

A vector has initial point at (3,-5) and terminal point at (-2,3). what are the characteristics of this vector?

a) the magnitude is √13, and the direction angle is about 58°.
b) the magnitude is √13, and the direction angle is about 122°.
c) the magnitude is √89, and the direction angle is about 58°.
d) the magnitude is √89, and the direction angle is about 122°

please thank you so so so so much <3

Answer 1

d

Explanation:

Answer 2

D

Explanation:

If you plot both points on a graph you can see the angle is much larger than 58 degrees so it must be 122 degrees. The square root of 13 is less than 4, and you can see that the two points are further than four units apart. Sorry for a non-mathematical explanation, this is just how I solve these things lol.