Question

If \[\vec{a}\] and \[\vec{b}\] are parallel, what is \[\vec{a}\times\vec{b}\]?

Options

• \[|\vec{a}||\vec{b}|\]

• \[\vec{a}+\vec{b}\]

• \[\hat{n}\]

• \[\vec{0}\]

Answer 1

For parallel vectors, \[\sin\theta=0\]. Thus the magnitude of the cross product is zero, giving \[\vec{a}\times\vec{b}=\vec{0}\].