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P.T the smaller angle theta between any ...

P.T the smaller angle `theta` between any two diagonals of a cube is given by `cos theta = 1//3`

A

`Cos^(-1)(1//sqrt3)`

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:
B
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. If the unit vectors bara and barb " are inclined at an angle " 2theta ...

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  2. Suppose bara,barb,barc " be three unit vectors such that " abs(bara-ba...

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  3. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  4. In a unit cube. Find The angle between a diagonal of a cube and the di...

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  5. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

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  6. The position vector of A is pbari+barj. If A is rotated about O throug...

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  7. If bara,barb are two vectors of magnitude 2 and inclined at 60^(@) ," ...

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  8. If bara.barb= 0and bara+barb " makes an angle of " 30^(@) with bara ,...

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  9. If (bara+barb)botbara, absbarb =sqrt2 absbara, then

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  10. The vectors 2bari -mbarj+3mbark and (1+m) bari -2m barj+bark include a...

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  11. If the angle between the vectors bara =lambdabari-7barj+3bark,barb=lam...

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  12. If the vectors bara = (lambda log(2) x) bari - 6barj + 3bark and barb ...

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  13. The value of 'x' for which the angle between bara=2x^(2)bari+4barxj+ba...

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  14. A vector bara of magnitude 50 is collinear with the vector 6bari -8bar...

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  15. A=(2,3,5), B(-1,3,2), C=(lambda,5,mu) are the vertices of a triangle. ...

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  16. The vector bara,barb,barc are equal in length and pair wise make equal...

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  17. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  18. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

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  19. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

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  20. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

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