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Question

Find the direction ratio of the plane passing through the points
R(2, 5, – 3), S(– 2, – 3, 5) and T(5, 3,– 3).

A
(2,3,4)
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B
(3,3,4)
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C
(1,2,5)
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D
(4,8,-3)
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Solution

The correct option is A (2,3,4)
Using three point equation,

x2y5z+322355+352353+3∣ ∣ ∣=0C2C22C1C3C3+2C1⎜ ⎜ ⎜ ⎜x2y52(x2)z+3+2(x2)400386∣ ∣ ∣ ∣=0Expanding through R2, we get4(4x+6y+8z14) =02x+3y+4z7 =0

comparing the above equation to the general form, we get
a = 2
b = 3
c = 4



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