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For the given vector vec(A)=3hat(i)-4hat...

For the given vector `vec(A)=3hat(i)-4hat(j)+10hat(k)`, the ratio of magnitude of its component on the `x-y` plane and the component on `z-`axis is

A

`2`

B

`(1)/(2)`

C

`1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`=sqrt(3^(2)+4^(2))/(10)=(1)/(2)`
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ALLEN -TEST PAPER-Exercise (Physics)
  1. If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k), fi...

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  2. An insect starts from (2,3,4) and travels along (hat(i)+2hat(j)+2hat(k...

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  3. For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k), the ratio of mag...

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  4. In the arrangement shown in figure coefficient of friction between 5kg...

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  5. A block is kept at the corner of two walls and force 3N is applied on ...

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  6. A plank of mass 2 kg and length 1 m is placed on horizontal floor.A sm...

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  7. A block is moving along y-axis with velocity vec(v)(A)=4hat(j) on a pl...

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  8. A block is projected up along the line of greatest slope of an incline...

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  9. A metal block is resting on a rough wooden surface. A horizontal force...

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  10. A Body intially at rest, starts moving along x-axis in such a way so t...

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  11. A particle is shifted from A to B and then from B to C where A,B and C...

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  12. Velocity of a stone projected, 2 second before it reaches he maximum h...

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  13. A particle is moving along x-axis whose position is given by x=4-9t+(t...

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  14. A particle moves 21m along the vector 6hat(i)+2hat(j)+3hat(k) , then 1...

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  15. A particle is falling freely under gravity. In frist t secnd it covers...

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  16. For a particle moving along x-axis, speed must be increasing for the f...

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  17. A car of mass 1000kg moves from point A to B. If kinetic energy of ca...

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  18. Two bodies of masses m(1) and m(2) are acted upon by a constant force ...

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  19. A body (intially at rest is falling under gravity. When it loses a gra...

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  20. The graph below shows how the force on a mass depends on the position ...

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