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The linear velocity of a rotating body i...

The linear velocity of a rotating body is given by `vec(v)= vec(omega)xxvec(r )`, where `vec(omega)` is the angular velocity and `vec(r )` is the radius vector. The angular velocity of a body is `vec(omega)= hat(i)-2hat(j)+2hat(k)` and the radius vector `vec(r )= 4hat(j)-3hat(k)`, then `|vec(v)|` is

A

`sqrt(29)` units

B

`sqrt(31)` units

C

`sqrt(37)` units

D

`sqrt(41)` units

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The correct Answer is:
A
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ERRORLESS -VECTORS-Exercise
  1. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

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  2. In a clockwise system:

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  3. The linear velocity of a rotating body is given by vec(v)= vec(omega)x...

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  4. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

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  5. The diagonals of a parallelogram are 2hati and 2hatj. What is the area...

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  6. What is the unit vector perpendicular to the following vectors 2hati+2...

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  7. The area of the parallelogram whose sides are represented by the vecto...

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  8. The position of a particle is given by vecr=(hati+2hatj-hatk) and mome...

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  9. Two vector A and B have equal magnitudes. Then the vector A+B is perpe...

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  10. Find the torque of a force vecF= -3hati+hatj+5hatk acting at the poin...

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  11. the value of (vecA+vecB)xx(vecA-vecB) is

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  12. If vecA and vecB are perpendicular vectors and vector vecA=5hati+7hatj...

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  13. A body, under the action of a force vec(F)=6hati -8hatj+10hatk , acqui...

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  14. Area of a parallelogram formed by vectors (3hati-2hatj+hatk)m and (hat...

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  15. The position vectors of radius are 2hati+hatj+hatk and 2hati-3hatj+hat...

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  16. What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and...

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  17. Dot product of two mutual perpendicular vector is

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  18. When vecA.vecB=-|A||B|, then

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  19. If |vecAxxvecB|=sqrt(3) vecA.vecB, then the value of |vecA+vecB| is

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  20. A force vecF=3hati+chatj+2hatk acting on a particle causes a displacem...

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