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If veca, vecb and vecc mutually perpendi...

If `veca, vecb` and `vecc` mutually perpendiculars, show that `[veca.(vecbxxvecc)]^2 = a^2b^2c^2`

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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Find the value of lambda so that the three vectors are co-planar. hati...

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  2. Find the value of lambda so that the three vectors are co-planar. (2,-...

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  3. If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...

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

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  5. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

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  6. For veca = hati+hatj, vecb = -hati+2hatk, vecc = hatj+hatk, obtain vec...

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  7. Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) =...

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  8. If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb, ...

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  9. Prove that the sum of the vectors directed from the vertices to the mi...

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  10. Prove by vector method that the diagonals of a quadrilateral bisect ea...

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  11. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

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  12. If M is the midpoint of the side vec(BC) of a triangle ABC, prove that...

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  13. If veca and vecb are unit vectors represented by the adjacent sides of...

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  14. If the points with position vectors 10hati+3hatj, 12hati-5hatj and aha...

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  15. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  16. For any vector vecr = xhati+yhatj+zhatk, prove that vecr = (vecr.hati)...

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  17. If two vectors veca and vecb are such that |veca| = 3, |vecb| = 2 and ...

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  18. If veca makes equal angles with hati, hatj and hatk and has magnitude ...

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  19. If veca,vecb,vecc are such that veca.vecb = veca.vecc then show that v...

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  20. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

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