7. Consider the vectors i = (2, 5, 1) and ū = (-2, 4, 3).(a)nitude |w = 8? Give a brief explanation of your answer, and then find one such vector w.How many different vectors w exist which are perpendicular to both ủ and i and have mag-(b)Compute the scalar projection of (ū – ī) onto (ū + ū).The dot product of the vectors (u x ī) and (ỡ x ū) is a negative number. Use the geometric(c)properties of the dot and cross products to explain why this must be true OR verify that it is true bycomputing (ũ x T) - (T × ū).

Given vectors are u→=2, 5, 1v→=-2, 4,…

Consider the vectors i = (2, 5, 1) and i= (-2, 4, 3). (a) nitude w| = 8? Give a brief explanation of your answer, and then find one such vector w. How many different vectors w exist which are perpendicular to both ū and i and have mag- (b) Compute the scalar projection of (u – ī) onto (ũ+ ū). The dot product of the vectors (u x T) and (ữ x u) is a negative number. Use the geometric (c) properties of the dot and cross products to explain why this must be true OR verify that it is true by computing (ū x T) · (ỡ × ū).

Consider the vectors i = (2, 5, 1) and i= (-2, 4, 3). (a) nitude w| = 8? Give a brief explanation of your answer, and then find one such vector w. How many different vectors w exist which are perpendicular to both ū and i and have mag- (b) Compute the scalar projection of (u – ī) onto (ũ+ ū). The dot product of the vectors (u x T) and (ữ x u) is a negative number. Use the geometric (c) properties of the dot and cross products to explain why this must be true OR verify that it is true by computing (ū x T) · (ỡ × ū).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...

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