Please help me with avg rate of change question

I'll assume the first vector to be (5,-1).

The vectors are not orthogonal

Step-by-step explanation:

Two vectors are orthogonal if the angle between them is 90°.

An easy test consists of calculating their dot product. If it results zero then the vectors are perpendicular or orthogonal.

Recall the dot product between two vectors x(a,b) and y(c,d) is:

Also:

Where is the angle between the vectors. If the angle is 90°, then cos 90° =0, and the dot product is 0.

Let's test if the vectors (5,-1) (4,32) are orthogonal:

Since the dot product is not zero, the vectors are not orthogonal