NAME:

Quiz 3, Math 223, Section 2, 9-11-98

If $\vec{a}$ and $\vec{b}$ are any nonzero vectors in 3-space, which are not parallel to one another, write expressions for vectors representing the following:

1.
A unit vector parallel to $\vec{a}$.
2.
A vector perpendicular to $\vec{a}$ and $\vec{b}$.

3.
What is the value of $\vec{a} \cdot (\vec{a} \times \vec{b})$? Why?


Vector Calculus
9/11/1998