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If vec(a) . hat(i)= vec(a).(hat(i)+ hat(...

If `vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j) + hat(k)) =1`, then `vec(a)` is equal to

A

`vec(0)`

B

`hat(i)`

C

`hat(j)`

D

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

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Verified by Experts

The correct Answer is:
B
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ICSE-VECTORS -MULTIPLE CHOICE QUESTION
  1. If | vec(a) | =3 and |vec(b) |=4, then the value of lambda for which v...

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  2. (vec(a). hat(i) )^(2) + ( vec(a).hat(j))^(2) + ( vec(a) . hat(k))^(2) ...

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  3. If vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j...

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  4. if | vec(a) xx vec(b) |^(2) +| vec(a). vec(b)|^(2)= 144 and | vec(a) |...

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  5. If |vec(a) | = 3, | vec(b) | =4 and | vec(a) xx vec(b) | = 10, then | ...

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  6. If |vec(a) | = 10 , | vec(b) | =2 and vec(a). vec(b) = 12, then | vec...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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