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## Homework Statement

In general, what can be said about the vector product x×(x×y)

## The Attempt at a Solution

I thought the result of this would be parallel to y. However the answer suggests it is orthogonal to x. Can anyone explain how I could approach this question? I tried to visualize it in my head but it was very difficult.

## Homework Statement

Given two vectors of length 2 and 3 separated by an angle of 30 degrees, what is the cross product of the two vectors?

## The Attempt at a Solution

I know that the cross product = (length of vector a)*(length of vector b)*sin(theta)

This gives us 3.0, however the answer key suggests there is not enough information to answer the question.