Engineering
Mathematics
Direction Cosines and Direction Ratio
Equation of Straight Line in 3D
Distance from a Plane
Question

If a line OP of length r (Where 'O' is the origin) makes an angle α with x-axis and lies on the xz-plane, then what are the coordinates of P ?

(rcosα,0,rsinα,)

(0,0,rsinα,)

(rcosα,0,0)

(0,0,rcosα,)

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Solution
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As OP lies on XZ plane so y co-ordinate is 0.

QP= rcosα

PR= rsinα 

Co-ordinate of P= (rcosα,0,rsinα,)

Option A is correct.