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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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PSEB-VECTOR ALGEBRA-Exercise
  1. Show that the vectors 2veci-3vecj+4veck, -4veci+6vecj-8veck are collin...

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  2. Find the direction cosines of the vector veci+2vecj+3veck ।

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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 A, B and C with position vectors, veca=3veci-4ve...

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  9. If vec a and vec b are two collinear vectors then which of the followi...

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

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

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

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  13. Find the projection of the vector veci + 3vecj + 7veck on the vector ...

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  14. Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6h...

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  15. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

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  16. Show that the given vector is a unit vector: (1/7)(6veci + 2vecj - 3v...

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

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

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

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

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