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Question

What are the direction cosines of a line which is equally inclined to the positive directions of the axes?

A
⟨13√,13√,13√⟩

B
⟨−13√,13√,13√⟩

C
⟨−13√,−13√,13√⟩

D
⟨13,13,13⟩

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Text SolutionText solutionverified iconVerified

[a] Letℓ, m, n are the dc?s of a line that is inclined equally at αto the +ve direction of axes. Now, ℓ=cosα,m=cosα.n=cosα. Also, ℓ2+m2+n2=1 3cos2α=1. cosα=13√ ∴ dc?s of the line are: ⟨13√,13√,13√⟩
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Question Text
What are the direction cosines of a line which is equally inclined to the positive directions of the axes?
Answer TypeText solution:1
Upvotes150