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If u=hat(i)(atimeshat(i))+hat(j)(atimesh...

If `u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k))`, then

A

`u=0`

B

`u=hat(i)+hat(j)+hat(k)`

C

`u=2a`

D

`u=a`

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The correct Answer is:
a
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If a, b and c are three non-coplanar vectors, then find the value of (...

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  2. atimes(btimesc) is coplanar with

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

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

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  5. If atimes(btimesc)=0, then

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

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

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

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

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

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

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

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

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  15. For some non zero vector barV, if the sum of bar V and the vector obta...

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

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

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  18. In a quadrilateral ABCD, AC is the bisector of the (AB, AD) which is (...

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  19. If the distance from the point P(1, 1, 1) to the line passing through ...

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  20. Given the vectors vec u=2 hat i-hat j-hat k and vec v=hat i-hat j+2ha...

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