Physics 2140 HW #1 Due Wed., Sep. 6

Note: Lecture on Sep 6 will be held in the NeXT Room, Duane G-0060a. Attendance (at least for the first few minutes) is mandatory!

1. Boas 3.4.14

2. Show that 4i-2j+8k and 5i+2j-2k are orthogonal (perpendicular). Find a third vector perpendicular to both. Is the vector you found unique? Explain.

In the next 2 problems, use vectors to prove the theorems. Do not decompose vectors into components (Cartesian or polar) You shouldn't even need to define any angles in either of the problems.
3. Boas 3.4.4

4. Boas 3.4.25

5. Boas 6.3.8

6. Boas 6.3.10

7. Boas 6.3.12 (Hint: Expand each triple product as done in Boas eqns 6.3.8 and 6.3.9)

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