Explanation Consider the vector diagram shown below to satisfy the conditions of triangle law of vector addition and Pythagorean theorem. Figure (1) Triangle law of vector addition states that when the two vectors are represented by two sides of a triangle in magnitude and direction then the third side of that triangle represents the magnitude and direction of the resultant of two vectors. A → + B → = C → Here, A → is the vector of A. B → is the vector of B. C → is the vector of C. It is given that the expression for the Pythagorean theorem is, A 2 + B 2 = C 2 C = A 2 + B 2 Here, C is the length of the hypotenuse of the triangle

Physics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780134020853

Author: James S. Walker

Publisher: PEARSON

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Chapter 3, Problem 7CQ

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The reason that the vectors A→ and B→ are oriented relative to one another.

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Chapter 3 Solutions

Physics, Books a la Carte Edition (5th Edition)

Ch. 3.1 - Is it possible for two vectors to be different...Ch. 3.2 - A vector has the components Ax = 5 m and Ay = 3 m....Ch. 3.3 - Several vectors are shown in Figure 3-16. The red...Ch. 3.4 - Which of the vectors shown in Figure 3-20 has the...Ch. 3.5 - An object moves along the brown path in Figure...Ch. 3.6 - Suppose the speed of the boat is increased in part...Ch. 3 - For the following quantities, indicate which is a...Ch. 3 - Which, if any of the vectors shown in Figure 3-36...Ch. 3 - Given that A+B=0, (a) how does the magnitude of B...Ch. 3 - Can a component of a vector be greater than the...

Ch. 3 - Prob. 5CQ Ch. 3 - Can a vector with zero magnitude heve one or more...Ch. 3 - Prob. 7CQ Ch. 3 - Prob. 8CQ Ch. 3 - Prob. 9CQ Ch. 3 - Prob. 10CQ Ch. 3 - Prob. 11CQ Ch. 3 - Use a sketch to show that two vectors of unequal...Ch. 3 - Rain is falling vertically downward and you are...Ch. 3 - When sailing, the wind feels stronger when you...Ch. 3 - Suppose that each component ot a certain vector is...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - The press box at a baseball park is 44.5 ft above...Ch. 3 - You are driving up a long, inclined road. 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The reason that the vectors A → and B → are oriented relative to one another.

Solution Summary: The author explains the triangle law of vector addition and Pythagorean theorem.

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