Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 2

(iv)

Find a unit vector perpendicular to the plane containing $\mathbf{a}$ and $\mathbf{b}$. Also find sine of the angle between them:

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(iv)

a=5i+j−3k\mathbf{a} = 5\mathbf{i} + \mathbf{j} - 3\mathbf{k}, b=−2i+4j+k\mathbf{b} = -2\mathbf{i} + 4\mathbf{j} + \mathbf{k}

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