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Find the direction cosines of the vector...

Find the direction cosines of the vector joining the points `A(1,2,-3)` and `B(-1,-2,1)`, directed from A to B.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are col...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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

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