To determine The terminal point Q and the value of | v | if v = [ 6 , 1 , − 4 ] , P : ( − 6 , − 1 , − 4 ) . Explanation Definition used: Let a be a vector with initial point components of the vector P ( x 1 , y 1 , z 1 ) and Q ( x 2 , y 2 , z 2 ) . Then the components of the vector are a = [ a 1 , a 2 , a 3 ] which is given by, a 1 = x 2 − x 1 , a 2 = y 2 − y 1 , a 3 = z 2 − z 1 The length | a | is given by | a | = a 1 2 + a 2 2 + a 3 2 . Calculation: Let Q = ( x 2 , y 2 , z 2 ) . It is given that v = [ 6 , 1 , − 4 ] , P : ( − 6 , − 1 , − 4 ) where x 1 = − 6 , y 1 = − 1 , z 1 = − 4 , v 1 = 6 , v 2 = 1 , v 3 = − 4 . Substitute x 1 = − 6 , y 1 = − 1 , z 1 = − 4 , v 1 = 6 , v 2 = 1 , v 3 = − 4 in v 1 = x 2 − x 1 , v 2 = y 2 − y 1 , v 3 = z 2 − z 1 and obtain Q ( x 2 , y 2 , z 2 )

10th Edition

ISBN: 9781119480150

Author: Kreyszig

Publisher: WILEY C

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Chapter 9.1, Problem 9P

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The terminal point Q and the value of |v| if v=[6,1,−4],P:(−6,−1,−4).

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Chapter 9.1, Problem 8P

Chapter 9.1, Problem 10P

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Chapter 9 Solutions

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Ch. 9.1 - Prob. 1P Ch. 9.1 - Find the components of the vector v with initial...Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Find the components of the vector v with initial...Ch. 9.1 - Find the terminal point Q of the vector v with...Ch. 9.1 - Find the terminal point Q of the vector v with...Ch. 9.1 - Find the terminal point Q of the vector v with...Ch. 9.1 - Find the terminal point Q of the vector v with...Ch. 9.1 - Find the terminal point Q of the vector v with...

Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - Prob. 13P Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - Prob. 17P Ch. 9.1 - Let a = [3, 2, 0] = 3i + 2j; b = [−4, 6, 0] = 4i +...Ch. 9.1 - What laws do Probs. 12–16 illustrate? 12. (a + b)...Ch. 9.1 - Prob. 20P Ch. 9.1 - Find the resultant in terms of components and its...Ch. 9.1 - Prob. 22P Ch. 9.1 - Find the resultant in terms of components and its...Ch. 9.1 - Find the resultant in terms of components and its...Ch. 9.1 - Find the resultant in terms of components and its...Ch. 9.1 - Equilibrium. Find v such that p, q, u in Prob. 21...Ch. 9.1 - Find p such that u, v, w in Prob. 23 and p are in...Ch. 9.1 - Unit vector. Find the unit vector in the direction...Ch. 9.1 - Restricted resultant. Find all v such that the...Ch. 9.1 - Prob. 30P Ch. 9.1 - For what k is the resultant of [2, 0, −7], [1, 2,...Ch. 9.1 - If |p| = 6 and |q| = 4, what can you say about the...Ch. 9.1 - Same question as in Prob. 32 if |p| = 9, |q| = 6,...Ch. 9.1 - Relative velocity. If airplanes A and B are moving...Ch. 9.1 - Same question as in Prob. 34 for two ships moving...Ch. 9.1 - Prob. 36P Ch. 9.1 - Prob. 37P Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Prob. 8P Ch. 9.2 - Prob. 9P Ch. 9.2 - Let a = [1, −3, 5], b = [4, 0, 8], c = [−2, 9, 1]....Ch. 9.2 - Prob. 11P Ch. 9.2 - What does u • v = u • w imply if u = 0? If u ≠...Ch. 9.2 - Prove the Cauchy–Schwarz inequality. Ch. 9.2 - Verify the Cauchy–Schwarz and triangle...Ch. 9.2 - Prob. 15P Ch. 9.2 - Triangle inequality. Prove Eq. (7). Hint. Use Eq....Ch. 9.2 - Prob. 17P Ch. 9.2 - Prob. 18P Ch. 9.2 - Prob. 19P Ch. 9.2 - Prob. 20P Ch. 9.2 - Prob. 21P Ch. 9.2 - Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0,...Ch. 9.2 - Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0,...Ch. 9.2 - Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0,...Ch. 9.2 - What will happen to the angle in Prob. 24 if we...Ch. 9.2 - Prob. 26P Ch. 9.2 - Addition law. cos (α − β) = cos α cos β + sin α...Ch. 9.2 - Prob. 28P Ch. 9.2 - Prob. 29P Ch. 9.2 - Prob. 30P Ch. 9.2 - Prob. 31P Ch. 9.2 - Prob. 32P Ch. 9.2 - Prob. 33P Ch. 9.2 - Prob. 34P Ch. 9.2 - Prob. 35P Ch. 9.2 - Prob. 36P Ch. 9.2 - Prob. 37P Ch. 9.2 - Prob. 38P Ch. 9.2 - Prob. 39P Ch. 9.2 - Prob. 40P Ch. 9.3 - Prob. 1P Ch. 9.3 - Prob. 2P Ch. 9.3 - Prob. 3P Ch. 9.3 - Prob. 4P Ch. 9.3 - Prob. 5P Ch. 9.3 - Prob. 6P Ch. 9.3 - Prob. 7P Ch. 9.3 - Prob. 8P Ch. 9.3 - Prob. 9P Ch. 9.3 - Prob. 11P Ch. 9.3 - Prob. 12P Ch. 9.3 - Prob. 13P Ch. 9.3 - Prob. 14P Ch. 9.3 - Prob. 15P Ch. 9.3 - Prob. 16P Ch. 9.3 - Prob. 17P Ch. 9.3 - Prob. 18P Ch. 9.3 - Prob. 19P Ch. 9.3 - Prob. 20P Ch. 9.3 - Prob. 21P Ch. 9.3 - Prob. 22P Ch. 9.3 - Prob. 23P Ch. 9.3 - Prob. 25P Ch. 9.3 - Prob. 26P Ch. 9.3 - Prob. 27P Ch. 9.3 - Prob. 28P Ch. 9.3 - Prob. 29P Ch. 9.3 - Prob. 30P Ch. 9.3 - Prob. 31P Ch. 9.3 - Prob. 32P Ch. 9.3 - Prob. 33P Ch. 9.3 - Prob. 34P Ch. 9.4 - Prob. 1P Ch. 9.4 - Prob. 2P Ch. 9.4 - Prob. 3P Ch. 9.4 - Prob. 4P Ch. 9.4 - Prob. 5P Ch. 9.4 - Prob. 6P Ch. 9.4 - Prob. 7P Ch. 9.4 - Prob. 9P Ch. 9.4 - Prob. 10P Ch. 9.4 - Prob. 11P Ch. 9.4 - Prob. 12P Ch. 9.4 - Prob. 13P Ch. 9.4 - Prob. 14P Ch. 9.4 - Prob. 15P Ch. 9.4 - Prob. 16P Ch. 9.4 - Prob. 17P Ch. 9.4 - Prob. 18P Ch. 9.4 - Prob. 19P Ch. 9.4 - Prob. 20P Ch. 9.4 - Prob. 22P Ch. 9.4 - Prob. 23P Ch. 9.4 - Prob. 24P Ch. 9.5 - Prob. 1P Ch. 9.5 - Prob. 2P Ch. 9.5 - Prob. 3P Ch. 9.5 - Prob. 4P Ch. 9.5 - Prob. 5P Ch. 9.5 - Prob. 6P Ch. 9.5 - Prob. 7P Ch. 9.5 - Prob. 8P Ch. 9.5 - Prob. 9P Ch. 9.5 - Prob. 10P Ch. 9.5 - Prob. 11P Ch. 9.5 - Prob. 12P Ch. 9.5 - Prob. 13P Ch. 9.5 - Prob. 14P Ch. 9.5 - Prob. 15P Ch. 9.5 - Prob. 16P Ch. 9.5 - Prob. 17P Ch. 9.5 - Prob. 18P Ch. 9.5 - Prob. 19P Ch. 9.5 - Prob. 20P Ch. 9.5 - Prob. 21P Ch. 9.5 - r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)Ch. 9.5 - r(t) = [cos t, sin t, 9t], P: (1, 0, 18)Ch. 9.5 - Prob. 27P Ch. 9.5 - Prob. 29P Ch. 9.5 - Prob. 30P Ch. 9.5 - Prob. 31P Ch. 9.5 - Prob. 32P Ch. 9.5 - Prob. 33P Ch. 9.5 - Prob. 34P Ch. 9.5 - Prob. 35P Ch. 9.5 - Prob. 36P Ch. 9.5 - Prob. 37P Ch. 9.5 - Prob. 38P Ch. 9.5 - Prob. 43P Ch. 9.5 - Prob. 44P Ch. 9.5 - Prob. 45P Ch. 9.5 - Prob. 46P Ch. 9.5 - CURVATURE AND TORSION 47. Circle. Show that a...Ch. 9.5 - Prob. 48P Ch. 9.5 - Prob. 49P Ch. 9.5 - Prob. 50P Ch. 9.5 - Prob. 51P Ch. 9.5 - Prob. 52P Ch. 9.5 - Prob. 53P Ch. 9.5 - Prob. 54P Ch. 9.5 - Prob. 55P Ch. 9.7 - Prob. 1P Ch. 9.7 - Prob. 2P Ch. 9.7 - Prob. 3P Ch. 9.7 - Prob. 4P Ch. 9.7 - Prob. 5P Ch. 9.7 - Prob. 6P Ch. 9.7 - Prob. 7P Ch. 9.7 - Prob. 8P Ch. 9.7 - Prob. 9P Ch. 9.7 - Prob. 10P Ch. 9.7 - Prob. 11P Ch. 9.7 - Prob. 12P Ch. 9.7 - Prob. 13P Ch. 9.7 - Prob. 14P Ch. 9.7 - Prob. 15P Ch. 9.7 - Prob. 16P Ch. 9.7 - Prob. 17P Ch. 9.7 - Prob. 18P Ch. 9.7 - Prob. 19P Ch. 9.7 - Prob. 20P Ch. 9.7 - Prob. 21P Ch. 9.7 - Prob. 22P Ch. 9.7 - Prob. 23P Ch. 9.7 - Prob. 24P Ch. 9.7 - Prob. 25P Ch. 9.7 - Prob. 26P Ch. 9.7 - Prob. 28P Ch. 9.7 - Prob. 29P Ch. 9.8 - Prob. 1P Ch. 9.8 - Prob. 2P Ch. 9.8 - Prob. 3P Ch. 9.8 - Prob. 4P Ch. 9.8 - Prob. 5P Ch. 9.8 - Prob. 6P Ch. 9.8 - Prob. 7P Ch. 9.8 - Prob. 8P Ch. 9.8 - CAS EXPERIMENT. Visualizing the Divergence. 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