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If |vec(a) | = 8 , | vec(b) =3 and | vec...

If `|vec(a) | = 8 , | vec(b) =3` and `| vec( a) xx vec( b) |=12` , then the value of `vec( a). vec(b)` is a) 12√3 only b) -12√3 only c) 12√3 or -12√3 d) none of these

A

`12 sqrt(3) `only

B

`-12 sqrt(3)` only

C

`12 sqrt(3)` or `- 12 sqrt(3)`

D

none of these

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The correct Answer is:
C
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ICSE-VECTORS -MULTIPLE CHOICE QUESTION
  1. If |vec(a) | = 10 , | vec(b) | =2 and vec(a). vec(b) = 12, then | vec...

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  2. If | vec(a) xx vec(b) | =4 and | vec(a). vec(b) |=2, then | vec( a) |^...

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  3. If |vec(a) | = 8 , | vec(b) =3 and | vec( a) xx vec( b) |=12 , then t...

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  4. If vec(a) + vec(b) + vec( c ) = vec(0), |vec(a) | = sqrt( 37), | vec(b...

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  5. The number of unit vectors perpendicular to the vector vec(a) = 2 hat(...

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  6. Unit vector perpendicular to the vectors hat(i) - hat(j) and hat(i) +...

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  7. Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i)...

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  8. A vector of magnitude 5 and perpendicular to hat(i) - 2 hat(j) + hat(...

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  9. The area ( in sq. units ) of a parallelogram whose adjacent sides are ...

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  10. If vec( AB) xx vec(AC) =2 hat(i)-4 hat(j) + 4 hat(k) , then area of De...

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  11. The vectors from origin to the points A and B are vec(a) = 2 hat(i) - ...

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  12. The area ( in sq. units ) of the triangle having vertices with positi...

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  13. If vec(a) , vec( b) and vec( c ) are unit vectors such that vec(a) + ...

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  14. If vec(a), vec(b), vec(c ) are three vectors such that vec(a) + vec(b)...

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  15. The value ( in cubic units ) of the parallelopiped whose coterminus ed...

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  16. If vec(a) = 2 hat(i) - 3hat(j) + 2 hat(k), vec(b)= 2hat(i)-4 hat(k) an...

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  17. If vec(a) is perpendicular to vec(b) and vec( c ),| vec(a) |=2, |vec(b...

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  18. If | vec(a) | = | vec( b) | =1 and | vec(a ) xx vec( b)| =1, then

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  19. If vec(a) = hat(i) + hat(j) + hat(k), vec(a).vec(b) =1 and vec(a) xx v...

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  20. If |vec(a) | =2, | vec(b) |=7 and vec(a) xx vec(b) = 3 hat(i) + 2hat(j...

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