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Find the angle between the vectors hati-...

Find the angle between the vectors `hati-2hatj+3hatk` and `3hati-2hatj+hatk`.

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Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

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Determine the sine of the angle between the vectors 3 hati +hatj +2hatk and 2hati - 2hatj +4hatk .

Determine the angel between the vectors hati+2hatj+hatk and 3hati+hatj-hatk . Also find the unit vector perpendicular to each of the two vectors.

If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+hatj+2hatk , then sin theta is equal to

The sine of the angle between the vector a=3hati+hatj+hatk and b=2hati-2hatj+hatk is

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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Show that the points A(-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are colli...

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  2. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

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  3. Find the angle between the vectors hati-2hatj+3hatk and 3hati-2hatj+ha...

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  4. Show that the vectors 1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk) ...

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  5. If veca = 5hati-hatj-3hatk, vecb = hati+3hatj-5hatk then show that the...

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  6. If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati...

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  7. Find x,y,z if hati+hatj+2hatk, -hati+zhatk and 2hati+xhatj+yhatk are m...

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  8. Find a vector and unit vector perpendicular to each of the vector veca...

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  9. Find a vector of magnitude 11 in the direction opposite to that of vec...

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  10. If the points (-1,-1,2) ,(2,m,5) and (3,11,6) are co-linear then find ...

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  11. Calculate the work done if a sled is pulled forward 50m along a fricti...

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  12. It takes 12000J of work to pull a sled 200m with a 120N force. Determi...

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  13. Calculate the work done by a force F = -5hati+hatj+7hatk N when its p...

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  14. A bolt is tightened using a 20N force, applied at an angle of 30^@ to ...

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  15. A bicycle pedal, 20 cm in length, has a 50N force applied to it at an ...

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  16. Which of the following is a vector quantity ?

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  17. You are given a displacement vector of 5 cm due east. Show by a diagra...

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  18. Represent graphically a force 60N is a direction 60^@ west of north.

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  19. Represent graphically a force 100N is a direction 45^@ west of north.

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  20. The quantity which has only magnitude is called

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