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Question

The projection of point P(p) on the plane rn=q is (s), then:

A
s=(qpn)nn2
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B
s=p+(qpn)nn2
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C
s=p(pn)nn2
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D
s=p(qpn)nn2
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Solution

The correct option is B s=p+(qpn)nn2
The equation of line passing through p and perpendicular to plane be r.n=q is r=p+tn
Let point of intersection of the plane with the line be s=p+tn
Since, S lies on the plane r.n=q
Therefore, (p+tn).n=q
t=qp.n|n|2
s=p+tn=p+((qpn)n2)n

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