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The angle between a diagonal of a cube a...

The angle between a diagonal of a cube and the diagonal of a face of the cube is

A

`cos^(-1) (1//sqrt(3))`

B

`cos^(-1) (1//3)`

C

`cos^(-1) (2//3)`

D

`cos^(-1) (sqrt(2)//3))`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
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  2. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  7. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

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  9. The angle between the lies r = (2i - 3j + k) + lambda (I + 4j + 3k) an...

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  10. The distance from the origin to the plane passing through A and perpen...

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  12. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

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  13. The centre and radius of the sphere 3x^(2) + 3y^(2) + 3z^(2) - 2x - 12...

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  14. The equation of the sphere on the join of (3,4 , -2), (-2, -1, 0) as d...

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  15. The centre of the sphere (r - 3i - 4j + 5k). (r - 21 + 3j - 4k) = 0 is

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  16. Tae radius of the sphere (r - 2i + 3j - k). (r + 3i - j + 2k) = 0 is

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  17. The work done by the force F = 2i - 3j + 2k in moving a particle from ...

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  18. The force f = 2i + 2j - k acting at a = I - 2j + k is displaced to a u...

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  19. Constant force P = 2i - 5j + 6k and Q = -1 + 2j - k act on a particle....

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