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If vec(a) is a vector and x is a non-zer...

If `vec(a) is a vector and x is a non-zero scalar, then

A

x `vec(a)` is a vector in the direction of `vec(a)`

B

x `vec(a)` is a vector collinear to `vec(a)`

C

x `vec(a)` and `vec(a)` have independent directions

D

None of these

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The correct Answer is:
A, B
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ALLEN-MISCELLANEOUS-Exercise-02
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  2. X- component of vec(a) is twice of its Y- component. If the magnitude ...

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  3. If vec(a) is a vector and x is a non-zero scalar, then

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  4. The two vectors vec(A) and vec(B) are drawn from a common point and ve...

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  5. Which of the following expressions are meaningful?

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  6. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

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  7. Following forces start acting on a particle at rest at the origin of t...

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  8. Which of the following group have the same dimensions.

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  9. The line of action of a force vec(F)=(-3hat(i)+hat(j)+5hat(k)) N passe...

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  10. A particle moves so that its position vector is given by vec r = cos o...

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  11. The magnitude of scalar product of two vectors is 8 and of vector prod...

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  12. Force acting on a particale is (2hat(i)+3hat(j))N. Work done by this f...

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  13. Equation of line BA is x+y=1. Find a unit vector along the reflected r...

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  14. The vector (vec(a)+3vec(b)) is perpendicular to (7 vec(a)-5vec(b)) and...

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  15. Forces proportional to AB , BC and 2 CA act along the slides of a tria...

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  16. A charges cork of mass m suspended by a light stright is placed in uni...

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  17. A charged particle having some mass is resting in equilibrium at a hei...

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  18. The charge per unit length of the four quadrant of the ring is 2 lambd...

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  19. The figure shows a nonconducting ring which has positive and negative ...

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  20. A circular ring carries a uniformly distributed positive charge .The e...

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