Question

Are the given vectors normal? a = <5, -2> and b = <6, 15> Yes or No Explain why please :)

Answer 1

Given the following:

a = <5, -2>

b = <6, 15>

For the given vectors to be normal, it must yield a zero dot product.

Let's check:

$\text{ a }\cdot\text{ b = \lparen5\rparen\lparen6\rparen + \lparen-2\rparen\lparen15\rparen = 30 - 30 = 0}$

Therefore, the answer is YES the given vectors are normal.