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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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For what value of 'a' the vectors 2hati-3hatj+4hatk and ahati+6hatj-8hatk are collinear?

Find a if the vectors vecx=2hati-3hatj+4hatk and vecy=ahati+6hatj-8hatk are collinear?

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 and linearly independent.

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

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

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

MODERN PUBLICATION-VECTORS-Exercise
  1. For given vectors,veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , fin...

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

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

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

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

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  6. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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

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

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  9. Find the position vector of the mid-point of the vector joining the po...

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  10. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  11. In triangle ABC, which of the following is not true :

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  12. If veca and vecb are two collinear vectors, then which of the followi...

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  13. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  14. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  15. Find the projection of the vector hati + hatj on the vector hati -hatj

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  16. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  17. Show that each of the given three vectors is a unit vector : 1/7(2hati...

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  18. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  19. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  20. Find the magnitude of two vectors veca and vecb, having the same magni...

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