Prove that the plane r=(i^+2j^−k^)=3 contains the line r=i^+j^+λ(2i^+j^+4k^)˙

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Prove that the plane {{r}}={({{i}}+{2}{{j}}-{{k}})}={3} contai

Question

Prove that the plane $r = (\hat{i} + 2 \hat{j} - \hat{k}) = 3$ contains the line $r = \hat{i} + \hat{j} + λ (2 \hat{i} + \hat{j} + 4 \hat{k}) ˙$

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Noah Discussed

Prove that the plane

r = (\hat{i} + 2 \hat{j} - \hat{k}) = 3

contains the line

r = \hat{i} + \hat{j} + λ (2 \hat{i} + \hat{j} + 4 \hat{k}) ˙

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Question Text

Prove that the plane

r = (\hat{i} + 2 \hat{j} - \hat{k}) = 3

contains the line

r = \hat{i} + \hat{j} + λ (2 \hat{i} + \hat{j} + 4 \hat{k}) ˙