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Exercise 1.4 Enhanced with Solution Given two vectors A 2.00i 4.00 j+ 6.00 k and

ID: 2078124 • Letter: E

Question

Exercise 1.4 Enhanced with Solution Given two vectors A 2.00i 4.00 j+ 6.00 k and B 4.00 i 2.00 j-3.00k, do the following You may want to review (D ages 18-19) For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors Part A Find the magnitude of the vector A. Submit My Answers Give Up Part B Find the magnitude of the vector B. Submit My Answers Give Up Part C Write an expression for the vector difference A-B Enter your answers numerically separated by commas. X,y,z Submit My Answers Give Up Part D Find the magnitude of the vector difference A-B IA-BI. Submit My Answers Give Up Part E ls this the same as the magnitude of B-A? O yes O no Submit My Answers Give Up

Explanation / Answer

A) Magnitude of vector A = -2i + 4j + 6k

= sqrt(2^2 + 4^2 + 6^2)

= 7.48

B) Magnitude of B = sqrt(4^2 + 2^2 + 3^2)

= 5.38

C) A - B = (-2i + 4j + 6k) + (4i + 2j - 3k)

= 2i + 6j + 3k

D) magnitude = sqrt(2^2 + 6^2 + 3^2) = 7

E) the magnitude will be same