Use the dot product to determine which of the following vector pairs are orthogonal.

(a) v1=(-5, 5) and v2=(1, 1)

(b) v1=(154, -169.4) and v2=(88, 64)

ANSWER

a) Orthogonal

b) Not orthogonal.

EXPLANATION

The given vectors are:

a)

and

If the dot product of two vectors is zero, then the two vectors are orthogonal.

These two vectors are orthogonal.

b)

The second pair of vectors are:

and

This pair is not orthogonal.

1. minimum

2. 6400

3. eight

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