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Question

Mathematics Question on Vector Algebra

Let p=2i^+j^+3k^\vec{p}=2\hat{i}+\hat{j}+3\hat{k} and q=i^j^+k^\vec{q}=\hat{i}-\hat{j}+\hat{k}. If for some real numbers α, β and γ we have
15i^+10j^+6k^=α(2p+q)+β(p2q)+γ(p×q)15\hat{i}+10\hat{j}+6\hat{k}=α(2\vec{p}+\vec{q})+β(\vec{p}-2\vec{q})+γ(\vec{p}\times\vec{q}),
then the value of γ is ________.

Answer

The correct answer is: 2.