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Write the values of the following hatk...

Write the values of the following
`hatk.hatk`

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`hatk.hatk=1`
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Write the values of the following. hatk.(hatixxhatk)

If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3hati+5hatj-2hatk and hatk-hatj is

Find the volume of the parallelopiped whose terminal edges are hati-2hatj+hatk,2hati-3hatj+hatk" and "3hati+hatj-2hatk .

Find a value of x for which x(hati+hatj+hatk) is a unit vector.

The magnitude of the torque about the point 3hati + 2hatj -2hatk of force vecF = 4hatj + hatk acting through the point hati + hatj +hatk is

Find the direction cosines of the resultant of the vectors (hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk) .

The number of distinct real values of lamda, for which the vectors : -lamda ^(2) hati+hatj+ hatk, hati - lamda ^(2) hatj+ hatk and hati + hatj- lamda ^(2) hatk are coplanar, is :

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SUBHASH PUBLICATION-MOTION IN PLANE-NUMERICALS WITH SOLUTIONS
  1. Write the values of the following. hati.(hatixxhatj)

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  2. Write the values of the following. hatk.(hatixxhatk)

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  3. Write the values of the following hatk.hatk

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  4. A swimmer can swim with a velocity of 10 kmph w.r.t the water flowing ...

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  5. A swimmer can swim with a velocity of 10 kmph w.r.t the water flowing ...

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  6. The angle between the vectors barA and barB is 60^(@). What is the rat...

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  7. Determine the unit vector which is perpendicular to both barA=2hati+ha...

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  8. Show that vectors (i+2j+3hatk) and (2hati-hatj) are perpendicular to e...

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  9. The position of a particle is given by barr=(3.0thati-2.0t^2hatj+4.0ha...

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  10. Find the angular velocity of a particle moving around a circular path ...

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  11. Calculate the angular acceleration of a particle executing uniform cir...

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  12. If the tangential acceleration of a particle around a circular path is...

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  13. Calculate the centripetal force on a particle of mass 0.020 kg revolvi...

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  14. An aircraft executes a horizontal loop of radius 500m with a uniform s...

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  15. A stone tied to one end of a string of radius 0.6m is whirled in a hor...

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  16. A simple pendulum of length 1.5m is held horizontally and then release...

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  17. Calculate the minimum and maximum tensions in a string of length 1m, o...

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  18. Given that the angle of banking is equal to 30^(@) and radius of the c...

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  19. A ball is thrown vertically upwards with a velocity of 50ms^(-1) and t...

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  20. A projectile is launched into space at an angle of 60^(@) with an init...

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