Planes in 3D

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Question

If P= (0,1,0) and Q = (0,0,1) then the projection  of PQ on the plane x+y+z=3 is

Moderate
Solution

If L, M are the feet of the perpendiculars from  P, Q to the plane then projection of PQ is LM.

using foot of perpendicular formula 


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If the points (1, 1, p) and (-3, 0, 1) are equidistant from the plane r (3i+4j-12k) +13 =0 then the value of 3p is (3p>4)

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