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  • If the direction cosines of a line are k, k, k, then: A. k greater than 0 B. 0 less than k less than 1 C. k equal to 1 D. k equal to 1divided square root of 3 or -1 divided square root of 3

If the direction cosines of a line are k, k, k, then:
            A. k > 0
            B. 0 < k < 1
            C. k = 1
            D. k = 1/√3 or -1/√3

Answers (1)

We know that the sum of squares of the direction cosines of a line = 1

=> k² + k² + k² = 1

=> 3k² = 1

\Rightarrow k=\pm\frac{1}{\sqrt{3}}     (Option D)

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infoexpert24

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