1 HW 1

Use vector analysis wherever possible.

1. 1st Ed: p13, q31a-f,h-j, 2nd Ed: p17, q31a-i. if they can be vectors, count them as such.
2. 1st Ed: p13, q32, 2nd Ed: p17, q32. Do it both graphically and analytically. Give length and angle.
3. 1st Ed: p14, q48, 2nd Ed: p19, q46. Use vector calculus only, no trig. No scalar equations at all. That includes cosine or sine rule.
4. 1st Ed: p32, q66, 2nd Ed: p38, q66. Use vector only, except when working out the final numbers.
5. 1st Ed: p32, q82, 2nd Ed: p40, q82a, where B should be corrected to $(1,-3,4)$. Vector calculus only, no trig. Do it without finding the actual sides of the parallelogram. In particular, show that the area is half of $\vec A\times \vec B$. Also give a unit vector normal to the plane of the parallelogram.
6. 1st Ed: p33, q90, 2nd Ed: p41, q90a. Also give the area of the parallelogram with sides $\vec B$ and $\vec C$.
7. 1st Ed: p53, q32, 2nd Ed: p64, q32. Draw the curve neatly.