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If a, b and c are any three vectors and ...

If a, b and c are any three vectors and their inverse are `a^(-1), b^(-1) and c^(-1) and [a b c]ne0`, then `[a^(-1) b^(-1) c^(-1)]` will be

A

zero

B

one

C

non-zero

D

[a b c]

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  6. If u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k)), t...

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

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  8. If atimes(btimesc)=0, then

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

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  10. Find by vector method the horizontal force and the force inclined at a...

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

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  12. Find the least positive integral value of x for which the angle betwee...

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  13. If a, b and c are non-coplanar vectors and d=lambda vec a+mu vec b+n...

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

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  15. 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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  16. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

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  17. For two particular vectors vec A and vec B it is known that vec A xx ...

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  18. For some non zero vector vecv, if the sum of vecv and the vector obtai...

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  19. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

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  20. Given an equilateral triangle ABC with side length equal to 'a'. Let M...

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