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

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The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Show that the three points whose position vectors are -3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk are collinear

Show that the points A, B and C with position vectors -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk respectively are collinear

Show that the points A,B and C having position vectors (hati + 2hatj + 7hatk),(2hati + 6hatj + 3hatk) , and (3hati + 10 hatj - 3hatk) respectively, are collinear.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

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

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

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.

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Which of the following is a vector quantity ?

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

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

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

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