The direction ratios of the diagonal of a cube which joins the origin to the opposite corner are (when the three concurrent edges of the cube are coordinate axes)

\frac{2}{\sqrt{3}}, \frac{2}{\sqrt{3}}, \frac{2}{\sqrt{3}}

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1, 1, 1

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2, - 2, 1

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1, 2, 3

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Solution

The correct option is A $1, 1, 1$
Let the length of the sides of cube is a, then coordinates of corner (P) opposite to origin are (a,a,a)
$∴$ Direction ratios of diagonal OP are $(a - 0, a - 0, a - 0)$
$∴ (a, a, a) i . e . (1, 1, 1)$

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The direction ratios of the diagonal of a cube which joins the origin to the opposite corner are (when the three concurrent edges of the cube are coordinate axes)

The correct option is A 1,1,1Let the length of the sides of cube is a, then coordinates of corner (P) opposite to origin are (a,a,a)∴ Direction ratios of diagonal OP are (a−0,a−0,a−0)∴(a,a,a)i.e.(1,1,1)

The correct option is A $1, 1, 1$
Let the length of the sides of cube is a, then coordinates of corner (P) opposite to origin are (a,a,a)
$∴$ Direction ratios of diagonal OP are $(a - 0, a - 0, a - 0)$
$∴ (a, a, a) i . e . (1, 1, 1)$