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

(i)

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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(i)

a=i+6j−3k\mathbf{a} = \mathbf{i} + 6\mathbf{j} - 3\mathbf{k}, b=2i+j+3k\mathbf{b} = 2\mathbf{i} + \mathbf{j} + 3\mathbf{k}

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(ii)
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