Introduction to 3DHard
Question
The point P is the intersection of the straight line joining the points Q(2, 3, 5) and R(1, -1, 4) with the plane5x - 4y - z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1, 4) to QR, then the lengthof the line segment PS is
Options
A.

B.√2
C.2
D.2√2
Solution

D. R. of QR is 1, 4, 1
Coordinate of P ≡

D. R. of PT is 2, 2, - 1
Angle between QR and PT is 45o
And PT = 1
⇒ PS = TS =

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