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:
[tex]\text{ a }\cdot\text{ b = \lparen5\rparen\lparen6\rparen + \lparen-2\rparen\lparen15\rparen = 30 - 30 = 0}[/tex]Therefore, the answer is YES the given vectors are normal.
