Find the angle between the line r=(3i^+k^)+λ(j^+k^) and the plane r⋅(2i^−j^+2k^)=1.

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Find the angle between the line {r}=(3{i}+{k})+({j}+{k}) and t

Question

Find the angle between the line $r = (3 \hat{i} + \hat{k}) + λ (\hat{j} + \hat{k})$ and the plane $r \cdot (2 \hat{i} - \hat{j} + 2 \hat{k}) = 1$ .

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Theodore Discussed

Find the angle between the line

r = (3 \hat{i} + \hat{k}) + λ (\hat{j} + \hat{k})

and the plane

r \cdot (2 \hat{i} - \hat{j} + 2 \hat{k}) = 1

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Question Text

Find the angle between the line

r = (3 \hat{i} + \hat{k}) + λ (\hat{j} + \hat{k})

and the plane

r \cdot (2 \hat{i} - \hat{j} + 2 \hat{k}) = 1