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Unformatted text preview: Name: Physics 121, Dr. Callahan Summer I 2008, Midterm #1 Solutions 1. Consider a room in the shape of a cube. A line is painted diagonally across the floor, from the southwest corner to the northeast. Another line is painted diagonally across the south wall, from the floor on the west side to the ceiling on the east. These lines meet at the bottom southwest corner. Find the angle that they make there. Answer: Put the origin at the bottom southwest corner. Let the x-axis point east, the y-axis point north and the z-axis point up. It doesnt matter what the size of the cube is, so lets say its a unit cube. Then the vector from the bottom southwest corner to the bottom northeast corner (diagonally across the floor) is a = + = (1 , 1 , 0). The vector from the bottom southwest corner to the top southeast corner (diagonally across the south wall) is b = + k = (1 , , 1). We want to find the angle between these vectors....
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This note was uploaded on 07/12/2008 for the course PHY 121 taught by Professor Chamberlin during the Summer '08 term at ASU.
- Summer '08