Find the distance of the point (−1,−5,−10)from the point of intersection of line r=2i^−j^+2k^+λ(3i^+4j^+2k^)and the plane ri^−j^+k^˙=5.

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Find the distance of the point {(-{1},-{5},-{10})}from the poi

Question

Find the distance of the point $(- 1, - 5, - 10)$ from the point of intersection of line $r = 2 \hat{i} - \hat{j} + 2 \hat{k} + λ (3 \hat{i} + 4 \hat{j} + 2 \hat{k})$ and the plane $r \dot{\hat{i} - \hat{j} + \hat{k}} = 5 .$

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Find the distance of the point

(- 1, - 5, - 10)

from the point of intersection of line

r = 2 \hat{i} - \hat{j} + 2 \hat{k} + λ (3 \hat{i} + 4 \hat{j} + 2 \hat{k})

and the plane

r \dot{\hat{i} - \hat{j} + \hat{k}} = 5 .

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Question Text

Find the distance of the point

(- 1, - 5, - 10)

from the point of intersection of line

r = 2 \hat{i} - \hat{j} + 2 \hat{k} + λ (3 \hat{i} + 4 \hat{j} + 2 \hat{k})

and the plane

r \dot{\hat{i} - \hat{j} + \hat{k}} = 5 .