Question

what angle between two vectors would give the maximum cross product?

Answer 1

By maximum cross product, you mean the maximum magnitude of a cross product?

Answer 2

yes

Answer 3

it should be 90 degrees

Answer 4

\[|\vec{A}\times \vec{B}|=|\vec{A}||\vec{B}|\sin\theta.\]You be the judge.

Answer 5

it should be 90 degrees

Answer 6

that's a dot product. I need the cross product

Answer 7

That's not a dot product.

Answer 8

yeah :))

Answer 9

how does that give a vector?

Answer 10

I'm taking its magnitude...

Answer 11

but the magnitude of the cross product changes with the direction as well as the magnitude, no?

Answer 12

The direction of a vector does not affect its magnitude.

Answer 13

oh. thanks i thought it did

Answer 14

A pencil will have the same length regardless of where you point with it.

Answer 15

|A⃗ ×B⃗ |=|A⃗ ||B⃗ |sinθ

now we know that the maximum value of sin theta is 1 and that will only happen if theta is equal to 90 degrees.

Answer 16

Or a multiple thereof.

Answer 17

yep

Answer 18

ok thank you both