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If u and v are unit vectors and theta is...

If u and v are unit vectors and `theta` is the acute angle between them, then `2u xx 3v` is a unit vector for

A

Exactly two values of `theta`

B

More than two values of `theta`

C

No value of `theta`

D

Eaxctly value of `theta`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. If a,b,c be unit vectors such that a.b = a.c = 0 and the angle between...

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  2. Let u = I + j, v = I - j, w = I + 2j + 3k. If n a unit vector such tha...

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  3. If u and v are unit vectors and theta is the acute angle between them,...

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  4. If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then

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  5. If a is any vector then (a xx i)^(2) + (a xx j)^(2) + (a xx k)^(2) =

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  6. If a xx I + 2a - 5j = 0 then a =

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  7. If vec(a) is a unit vector and vec(a) xx vec(i) = vec(j), then vec(a)....

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  8. If three vectors a,b,c are such that a !=0 and a xx b = 2 (a xx c), |a...

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  9. The vector area of the parallelogram whose adjacent sides are i + j + ...

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  10. The area of the parallelogram whose adjacent sides are 3i + 2j + k and...

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  11. The vector area of the parallelogram whose diagonals are I + j - k, 2i...

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  12. The area of the parallelogram whose diagonals are I - 3j + 2k, -I + 2j...

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  13. The vector area of the rectangle whose adjacent sides are 2i + 3j, 4k ...

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  14. The vector area of the triangle whose adjacent sides are I - 2j + 2k, ...

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  15. The area of the triangle whose sides are given by 2i - 7j + k and 4j- ...

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  16. The vector area of the triangle with vertices I + j + k, I + j + 2k, I...

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  17. The area of the triangle formed by the points whose position vectors a...

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  18. The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

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  19. The vector area of the Delta ABC whose vertices are a,b,c is

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  20. If a,b,c are the position vectors of A,B,C of Delta ABC then (a xx b) ...

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