Given and , determine the unit vector along…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given A=2i^−j^+3k^\mathbf{A}=2\hat{i}-\hat{j}+3\hat{k} and B=i^+2j^+2k^\mathbf{B}=\hat{i}+2\hat{j}+2\hat{k}, determine the unit vector along A−B\mathbf{A}-\mathbf{B}. (a) 111 (−i^+3j^−k^)\dfrac{1}{\sqrt{11}}\,(-\hat{i}+3\hat{j}-\hat{k}) (b) 111 (i^−3j^+k^)\dfrac{1}{\sqrt{11}}\,(\hat{i}-3\hat{j}+\hat{k}) (c) 114 (i^−3j^+k^)\dfrac{1}{\sqrt{14}}\,(\hat{i}-3\hat{j}+\hat{k}) (d) 111 (i^+3j^−k^)\dfrac{1}{\sqrt{11}}\,(\hat{i}+3\hat{j}-\hat{k})

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