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Show that the vectors 1/7(2hati+3hatj+6h...

Show that the vectors `1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk)` and `1/7 (6hati+2hatj-3hatk)` are mutually perpendicular.

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Show that each of the following three vectors is a unit vector 1/7 (2hati+3hatj+6hatk), 1/7(3hati-6hatj+2hatk).1/7(6hati_2hatj-3hatk) . Also show that they are mutually perpendicular to each other.

Show that the vectors 2hati -3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Show that the vectors hati-3hatj+2hatk, 2hati-4hatj-hatk and 3hati+2hatj-hatk are linearly independent

prove that the vectors A=2hati-3hatj+hatk and B=hati+hatj + hatk are mutually perpendicular .

Show that the vectors 4hati-hatj+hatk, 3hati-2hatj-hatk and hati+hatj+2hatk are co-planar.

Show that the vectors hati-3hati+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

Given veca=1/7 (2hati+3hatj+6hatk), vec= 1/7 (3hati-6hatj+2hatk) and vecc1/7(6hati+2hatj-3hatk) . Show that veca,vecb,vecc are of unit length mutually perpendicular and that vecaxxvecb=vecc .

Show that vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are parallel

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Which of the following is a vector quantity ?

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

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

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

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  19. The quantity which has only magnitude is called

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  20. Force is a vector quantity. True or false ?

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