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Show that the vectors 2hati -3hatj+4hatk...

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

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

For what value of a, the vector s (2hati - 3hatj + 4hatk) and (ahati + 6hatj - 8hatk) collinear ?

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

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

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

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

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are Perpendicular to each other

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

Using dot product of vectors show that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Write two different vectors having same direction.

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  2. Find the values of x,y and z so that the vectors 3hati+hatj+4hatk and ...

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  3. Find the scalar and vector components of the vector with initial point...

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  4. Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-...

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  5. Find the unit vector in the direction of the vector veca = 2hati+2sqrt...

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  6. Find the unit vector in the direction of vector PQ, where P and Q are ...

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  7. For given vectors, veca =hati+2hatj+3hatk and vecb = 2hati+3hatj+5hatk...

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  8. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

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

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  10. Find the direction cosines of the vector hati+2hatj+3hatk.

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  11. Find the direction cosines of the vector joining the points A(1,2,-3) ...

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  12. Find the position vector of a point R which-divides the line joining t...

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  13. Find the position vector of a point R which-divides the line joining t...

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  14. Find the position vector of the mid point of the vector joining the po...

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  15. Show that the points A, B and C with position vectors veca=3hati -4hat...

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  16. If vecaxxvecb = veccxxvecd and vecaxxvecc = vecbxxvecd, show that (vec...

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  17. Find the area of the parallelogram whose adjacent sides are represente...

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  18. Find the area of the triangleABC where co ordinates of A,B,C are (3, -...

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  19. If vecA=hati+2hatj+3hatk and vecB=hati+4hatj-2hatk then find (vecA+vec...

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  20. Find a unit vector perpendicular to each of the vectors 2hati -3hatj+h...

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