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If a and b are two vectors , then (atime...

If a and b are two vectors , then `(atimesb)^(2)` is equal to

A

`|[a*b, a*a], [b*b, b*a]|`

B

`|[a*a, a*b], [b*a, b*b]|`

C

`|[a*b], [b*a]|`

D

None of these

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The correct Answer is:
b
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If vec a=4 hat i+6 hat ja n d vec b=3 hat j+4 hat k , then find the c...

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  2. If vectors a=2hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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  3. If a and b are two vectors , then (atimesb)^(2) is equal to

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  4. The moment of the force F acting at a point P, about the point C is

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  5. The moment of a force represented by F=hat(i)+2hat(j)+3hat(k) about th...

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  6. A force of magnitude 6 acts along the vector (9, 6, -2) and passes thr...

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  7. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

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  8. If a, b and c are any three vectors and their inverse are a^(-1), b^(-...

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  9. If a, b and c are three non-coplanar vectors, then find the value of (...

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  10. atimes(btimesc) is coplanar with

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  11. If u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k)), t...

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  12. If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat...

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  13. If atimes(btimesc)=0, then

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  14. A vectors which makes equal angles with the vectors 1/3(hati - 2hatj ...

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  15. [Find by vector method the horizontal force and the force inclined at ...

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  16. If x+y+z=0, |x|=|y|=|z|=2 and theta is angle between y and z, then the...

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  17. The values of x for which the angle between the vectors veca = xhati -...

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  18. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

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  19. If the vectors 3 vec p + vec q; 5 vec p - 3 vecq and 2 vec p + vec q; ...

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  20. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

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