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If overset(-)u=overset(-)a-overset(-)b, ...

If `overset(-)u=overset(-)a-overset(-)b, overset(-)v=overset(-)a+overset(-)b, |overset(-)a|=|overset(-)b|=2," then "|overset(-)u xx overset(-)v|` is equal to

A

`2 sqrt(16-(overset(-)a.overset(-)b)^(2))`

B

`sqrt(16-(overset(-)a.overset(-)b)^(2))`

C

`2 sqrt(4-(overset(-)a.overset(-)b)^(2))`

D

`sqrt(4-(overset(-)a.overset(-)b)^(2))`

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The correct Answer is:
A
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
  1. If three unit vectors veca, vecb, vecc" satisfy "overset(-)a+overset(-...

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  2. (overset(-)a+2overset(-)b-overset(-)c) (overset(-)a-overset(-)b) xx (o...

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  3. If overset(-)u=overset(-)a-overset(-)b, overset(-)v=overset(-)a+overse...

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  4. If the angle theta between the vectors veca=2x^(2)hati+4xhatj+hatk and...

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  5. Let OA, OB, OC be the co-terminal edges of a rectangular parallelopipe...

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  6. In a quadrilateral ABCD, the point P divides DC in the ratio 1:2 and Q...

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  7. If veca=-hati+hatj+2hatk, vecb=2hati-hatj-hatk and vecc=-2hati+hatj+3h...

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  8. If m(1),m(2), m(3), m(4) are respetively the magnitudes of the vectors...

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  9. Suppose veca=lambda hati-7 hatj+3hatk, overset(-)b=lambda hati+hatj+2l...

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  10. The volume of the tetrahedron having the edes hati+2hatj-hatk, hati+ha...

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  11. The position vectors of P and Q are respectively a and b. If R is a po...

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  12. If the points with position vectors 60hati+3j, 40hati-8hatj and ahati-...

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  13. If the points vectors of A,B and C are respectively 2hati-hatk+hatk, h...

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  14. If veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+...

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  15. Let overset(-)a be a unit vector overset(-)b=2hati+hatj-hatk and overs...

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  16. Let a=a(1) hati+a(2) hatj+a(3) hatk Assertion (A) The identity |ve...

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  17. If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2h...

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  18. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  19. If veca=overset(-)i-overset(-)j-overset(-)k and vecb=lambda hati-3hatj...

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  20. The volume (in cubic unit) of the tetrahedron with edges hati+hatj+hat...

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