If and , then the component of along…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

If a=4i^+6j^\mathbf{a}=4\hat{i}+6\hat{j} and b=3j^+4k^\mathbf{b}=3\hat{j}+4\hat{k}, then the component of a\mathbf{a} along b\mathbf{b} is (1) 18103(3j^+4k^)\dfrac{18}{10\sqrt{3}}(3\hat{j}+4\hat{k}) (2) 1825(3j^+4k^)\dfrac{18}{25}(3\hat{j}+4\hat{k}) (3) 183(3j^+4k^)\dfrac{18}{\sqrt{3}}(3\hat{j}+4\hat{k}) (4) (3j^+4k^)(3\hat{j}+4\hat{k})

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