College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question

Transcribed Image Text:Problems
For problems marked . refer to page 519 for a hint, clue, or answer.
L1 Vector algebra 1*
Given two vectors A = (21 - 3j + 76) and B= (sî + j + 2k) find:
(a) A + B: (b) A -B; (c) A B. (d) A x B.
%3D
12 Vector algebra 2*
Given two vectors A = (3i - 23 + 5k) and B = (61 - 73 + 4k) find:
(a) A: (h) B: (c) (A B.
13 Cosine and sine by vector algebra"
Find the cosine and the sine of the angle between A = (31 + j+ k)
and B = (-2i +j+ k).
14 Direction cosines
The direction cosines of a vector are the cosines of the angles it
makes with the coordinate axes. The cosines of the angles between
the vector and the x, y, and z axes are usually called, in turn., a.B.
and y. Prove that a +B? +y = 1, using either geometry or vector
algebra.
15 Perpendicular vectors
Show that if A - Bj = |A + BỊ, then A and B are perpendicular.
16 Diagonals of a parallelogram
Show that the diagonals of an equilateral parallelogram are
perpendicular.
17 Law of sines
Prove the law of sines using the cross product. It should only take
a couple of lines.
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