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Find the distance of the point (3,8,2) f...

Find the distance of the point `(3,8,2)` from the line `vecr=hati + 3 hatj + 2hatk + lamda ( 2 hati + 4 hatj + 3hatk)` measured parallel to the plane `vec r . (3 hati + 2 hatj - 2hatk) + 15=0.`

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Find the distance of the pont (-1,-5,-10) from the point of intersection of the ine vecr=2hati - hatj +2hatk + lamda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk)=5 .

Find the image of the point (3hati-hatj+11hatk) in the line vecr = 2 hatj + 3hatk+lambda(2hati+3hatj+4hatk) .

Find the distance of the point (-1,-5,-10) from the point of the intersection of the line vecr = 2hati-2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) = 5 .

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