Question

Let a line pass through the origin and make equal angles with the coordinate axes. Then the direction cosines of the line are:

Q: Answer-Let a line pass through the origin and make equal angles with the coordinate axes. Then the directio...

Let the direction cosines be l, m, n. If the line makes equal angles with the coordinate axes, then l m n And we know the identity for direction cosines l m n 1 Substitute l m n 3l 1 l 13 l m n 13 So, the direction cosines are 13, 13, 13

A (1/√2, 1/√2, 0)

B (1/√3, 1/√3, 1/√3)

C (1/2, 1/2, 1/2)

D (1/√6, 1/√3, 1/2)

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Let a line pass through the origin and make equal angles with the coordinate axes. Then the direction cosines of the line are:

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