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Find the foot of the perpendicular drawn...

Find the foot of the perpendicular drawn from the point `2 hat i- hat j+5 hat k` to the line ` vec r=(11 hat i-2 hat j-8 hat k)+lambda(10 hat i-4 hat j-11 hat k)dot` Also find the length of the perpendicular.

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The correct Answer is:
`sqrt(14)`
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