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The vectors AB = 3i - 2j + 2k and BC = -...

The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides of a parallelogram. The angle between its diagonals is

A

`(pi)/(2)`

B

`(pi)/(3)` or `(2 pi)/(3)`

C

`(3 pi)/(4)` or `(pi)/(4)`

D

`(5 pi)/(6)` or `(pi)/(6)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
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  3. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

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  5. If a,b are vectors of lengths a,b respectively then ((a)/(a^(2)) - (b)...

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  6. If a.b = 0 and a + b makes an angle of 30^(@) with a, then

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  7. If a,b,c are three mutally perpendicular vectors such that |a| = |b|...

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  8. If three unit vectors a,b,c satisfy a + b + c = 0 then the angle betwe...

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  9. In the parallelogram ABCD, overline(AC)^(2)- overline(BD)^(2) =

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  10. In the parallelogram ABCD, overline(AD)^(2) - overline(AB)^(2) =

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  11. If a,b are unit vectors such that the vector a + 3b is perpendicular t...

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

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  13. The angle between a diagonal of a cube and the diagonal of a face of t...

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  14. The cartesian equation of the plane passing through A and perpendicula...

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  15. The cartesian equation of the plane passing through A and perpendicula...

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  16. If A = (1,3, - 5) and B = (3,5, - 3) then the vector equation of the p...

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

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  18. The angle between the planes r. (2i - j + 2k) = 3 and r. (3i - 6j + 2k...

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

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

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