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If the position vectors of the point A and B are : `7hati+3hatj-hatk` and `2hati-5hatj+4hatk` respectively, find the magnitude and direction-cosines of the vector `vec(AB)`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

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  2. In the following, find the components of the vector vec(PQ) along x an...

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  3. If the position vectors of the point A and B are : 7hati+3hatj-hatk an...

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  4. Find the position vector of the centroid of the /\ABC when the positio...

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  5. Show that the vectors veca=2hati+3hatj and vecb=4hati+6hatj are parall...

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  6. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  7. IF veca=2hati-hatj+2hatk and vecb=6hati+2hatj+3hatk, find a unit vecto...

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  8. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  9. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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  10. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  11. Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...

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  12. Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...

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

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  14. Show that the following points are collinear : A(-2,1),B(-5,-1),C(1,3)...

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  15. Show that the following points are collinear : A(1,2,7),B(2,6,3),C(3,1...

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  16. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

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  17. Show that the following vectors are coplanar : hati-hatj+hatk,6hati-ha...

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  18. Show that the following vectors are coplanar : 3hati-2hatj+4hatk,6hati...

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  19. Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3h...

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  20. Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right...

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