The vector A has x, y, and z components of 5.00, -2.00, and 1.42 units, respecti

Question

The vector A has x, y, and z components of 5.00, -2.00, and 1.42 units, respectively. (a) Write a vector expression for A in unit-vector notation. (b) Obtain a unit-vector expression for a vector B one-fourth the length of A pointing in the same direction as A (c) obtain a unit-vector expression for a vector C three times the length of A pointing in the direction opposite the direction of A Need Help?Lead"mi L Master" Master It Submit Answer Save Progress Practice Another Version 11. 3/3 points ! Previous Answers SerPOP51 P 044 soln

Explanation / Answer

here,

magnitude of A , |A| = sqrt(5^2 + 2^2 + 1.42^2)

|A| = 5.57 units

units vector of A , A^ = A/ |A|

A^ = 0.9 i - 0.36 j - 0.25 k units

b)

the vector having one fourth length and the same direction , B = (|A| /4) * A^

B = 1.25 i - 0.5 j - 0.36 k

c)

the vector C , C = (3 * |A|) * ( - A^)

C = - 15 i + 6 j + 4.26 k units

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