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If vecaxxvecb = vecbxxvecc ne vec0, prov...

If `vecaxxvecb = vecbxxvecc ne vec0`, prove that `veca+vecc = mvecb`, where m is a scalar.

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

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  2. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

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  3. Prove the following by vector method. in any triangle ABC, a = bcosC...

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  4. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  5. For veca = hat(i) + hat(j), vecb = -hat(i) + 2hat(k), vecc = hat(j) + ...

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  6. Prove the following by vector method. The diagonals of a rhombus are a...

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  7. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

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  8. Find the volume of the parallelopiped whose sides are given by the vec...

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  9. Find the value of lambda for which the three points with position vect...

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  10. Find a unit vector perpendicular to the following two vectors veca =2...

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  11. Find the value of lambda so that three vectors veca=2hati-hatj+hatk, ...

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  12. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  13. If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-...

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  14. If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, wher...

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  15. Prove analytically : The perpendicular bisector of the sides of a tria...

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  16. Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati...

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  17. Prove by vector method that the medians of a triangle are concurrent.

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  18. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  19. Prove by vector method that the medians of a triangle are concurrent.

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  20. Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...

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