Question

Compute |u x v| if u and v are unit vectors and the angle between u and v is π/4.

Answer 1

To compute |u x v|, use the formula |u x v| = |u| * |v| * sin(θ), where θ is the angle between u and v. In this case, |u x v| = √2/2.

Step-by-step explanation:

To compute the cross product magnitude |u x v|, we can use the formula |u x v| = |u| * |v| * sin(θ), where θ is the angle between u and v.

In this case, since u and v are unit vectors, |u| = |v| = 1. And the angle between u and v is π/4.

Substituting these values into the formula, we get |u x v| = 1 * 1 * sin(π/4) = 1 * 1 * (√2/2) = √2/2.