If the directions cosines of a line are k,k,k, then ______.

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If the directions cosines of a line are k,k,k, then k = 1/sqrt(3) or - 1/sqrt(3). Explanation: If l, m, n are the direction cosines of a line, then l2 + m2 + n2 = 1 So, k2 + k2 + k2 = 1 ⇒ 3k2 = 1 ⇒ k = +- 1/sqrt(3)

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