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vecA=(3hati+2hatj-6hatk) and vecB=(hati-...

`vecA=(3hati+2hatj-6hatk)` and `vecB=(hati-2hatj+hatk)`, find the scalar product `vecA` and `vecB`

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To find the scalar product (dot product) of the vectors \(\vec{A} = 3\hat{i} + 2\hat{j} - 6\hat{k}\) and \(\vec{B} = \hat{i} - 2\hat{j} + \hat{k}\), we will follow these steps: ### Step 1: Write down the vectors We have: \[ \vec{A} = 3\hat{i} + 2\hat{j} - 6\hat{k} \] \[ ...
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AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. All the particles are situated at a distance R from the origin. The di...

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  2. Will the velocity and acceleration of centre of mass change if particl...

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  3. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

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  4. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

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  5. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

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  6. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

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  7. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

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  8. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

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  9. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

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  10. What is the angular velocity of a particle lying on the axis of rotati...

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  11. What is the angular acceleration of a particle moving with constant an...

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  12. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

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  13. A force (hati-2hatj+3hatk) acts on a particle lying at origin. What is...

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  14. A force (hati-2hatj+3hatk) acts on a particle of position vector (3hat...

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  15. A particle of mass 1kg is moving about a circle of radius 1m with a sp...

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  16. What is the angular momentum of a particle at rest ? Hint. vecv=0.

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  17. A torque of 5Nm is applied on a particle for 2 seconds, calculate the ...

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  18. The angular momentum of a particle changes from 4kg m^(2)s^(-1) to 8kg...

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  19. Give an example of a body in rotational equilibrium but not in transla...

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  20. Give conditions for mechanical equilibrium.

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