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Question

If P(0,1,0),Q(0,0,1), then  projection of PQ on the plane x +y +z =3 is  
  1. 2
  2. 3
  3. 3
  4. 2


Solution

The correct option is A 2
Given plane is x+y+z-3=0. From point P and Q draw PM and QN perpendicular on the given plane and QRMP.
|MP|=0+1+0312+12+12=23,|NQ|=23

|PQ|=(00)2+(01)2+(10)2=2|RP|=|MP||MR|=|MP||NQ|=0|NM|=|QR|=PQ2RP2=(2)20=2.

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