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7) Given three vectors, A = 2.00 1 – 5.00 j, B = 4.00 ĵ, and C = 3.00 î, evaluate the following expressions if they are mathematically allowed: (a) C(Ã × B); (b) C - (Ã × B) ; (c) č x (Ã - B) %3D

7) Given three vectors, A = 2.00 1 – 5.00 j, B = 4.00 ĵ, and C = 3.00 î, evaluate the following expressions if they are mathematically allowed: (a) C(Ã × B); (b) C - (Ã × B) ; (c) č x (Ã - B) %3D

College Physics
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)...
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Number 7 from physics part a b and c
5) Find the components of the following vectors: (a) P of length 5.50 m directed at 160° counterclockwise from the +x axis; (b) Q of length 3.50 m directed at 120° clockwise from the +y axis. 6) Given the three vectors A = 1.00 î – 4.00 î, B = 3.00 î, and C = -2.00 j evaluate the following expressions if they are allowed mathematically: (a) Č - (Ã + B); (b) Č- (Ả - B); (c) C + Ả B 7) Given three vectors, A = 2.00 î – 5.00 j, B = 4.00 ĵ, and Ĉ = 3.00 î, evaluate the following expressions if they are mathematically allowed: (a) C(Ã × B); (b) Č (Ã × B); (c) č x (A - B) %3D 8) Consider two vectors A and B where: A = -6.00 î + 3.00 ĵ + 3.00 k B = 6.00 î - 8.00 ĵ + 4.00 k If we want to find the angle between these two vectors, we have two possible options: we can use the magnitude of the dot product, or the magnitude of the cross product. Å - B = AB cos(0) JÃ x B| = AB sin(0) %3D However, these approaches give conflicting answers for the value of 0. a) What is the correct value of theta? b) Why does the other formula give the wrong answer?
Transcribed Image Text:5) Find the components of the following vectors: (a) P of length 5.50 m directed at 160° counterclockwise from the +x axis; (b) Q of length 3.50 m directed at 120° clockwise from the +y axis. 6) Given the three vectors A = 1.00 î – 4.00 î, B = 3.00 î, and C = -2.00 j evaluate the following expressions if they are allowed mathematically: (a) Č - (Ã + B); (b) Č- (Ả - B); (c) C + Ả B 7) Given three vectors, A = 2.00 î – 5.00 j, B = 4.00 ĵ, and Ĉ = 3.00 î, evaluate the following expressions if they are mathematically allowed: (a) C(Ã × B); (b) Č (Ã × B); (c) č x (A - B) %3D 8) Consider two vectors A and B where: A = -6.00 î + 3.00 ĵ + 3.00 k B = 6.00 î - 8.00 ĵ + 4.00 k If we want to find the angle between these two vectors, we have two possible options: we can use the magnitude of the dot product, or the magnitude of the cross product. Å - B = AB cos(0) JÃ x B| = AB sin(0) %3D However, these approaches give conflicting answers for the value of 0. a) What is the correct value of theta? b) Why does the other formula give the wrong answer?
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