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Question
Show that the direction cosines of a vector equally inclined to the axes OX, OY, and OZ are `pm1/sqrt3, 1/sqrt3, 1/sqrt3`.
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Solution
The direction ratio are < 1, 1, 1>
∴ Direction cosines are
`<1/sqrt (1 + 1 + 1), 1/sqrt(1 + 1 + 1), 1/ sqrt(1 + 1 + 1)>`
i.e., `< 1/sqrt3, 1/sqrt3, 1/sqrt3>`
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