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A line makes equal angles with co-ordinate axis. Direction cosines of this line are

(A) ± (1, 1, 1)

(B) ±(1/√3, 1/√3, 1/√3)

(C) ±(1/3, 1/3, 1/3)

(D) ±(1/√3, -1/√3, -1/√3)

1 Answer

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Best answer

(B) is the correct answer. Let the line makes angle α with each of the axis.

Then, its direction cosines are cos α, cos α, cos α.

Since cos2 α + cos2 α + cos2 α = 1. Therefore, cos α = 1/√3

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