Question

If u=(cosØ,sinØ) and v=(sinØ,-cosØ), are u and v orthogonal, parallel, or neither? explain.

Answer 1

A way to test for whether two vectors are orthogonal is to use dot product. If the dot product equals 0, then the two vectors are orthogonal.

Answer 2

so...its orthogonal?

Answer 3

Did you dot product u and v?

Answer 4

well, i'm helping a friend so i don't really know much about this stuff, this is the last problem so i thought i'd ask here for help...but i dont know how to do it personally,sorry...

Answer 5

\[u . v = <u1,u2> . <v1,v2>\]
\[u . v = u1*v1 + u2*v2\]

Answer 6

That's how you dot product vectors.

Answer 7

so what would the answer be? i'm confused