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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are `P(veci+2vecj-veck)` and `Q(-veci+vecj+veck)` respectively, in the ratio 2 : 1, externally.

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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, internally.

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PSEB-VECTOR ALGEBRA-Exercise
  1. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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

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

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

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  5. Show that the points A, B and C with position vectors, veca=3veci-4ve...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc ...

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  19. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  20. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

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