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Find the volume of the parallelopiped wh...

Find the volume of the parallelopiped whose sides are given by the vectors. `hati+hatj+hatk, hatk, 3hati-hatj+2hatk.`

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Let `veca = hati+hatj+hatk, vecb = hatk, vecc = 3hati-hatj+2hatk`
Volume of the parallelopiped = `(vecaxxvecb).vecc`
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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

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  2. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

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

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  4. Find the volume of the Parallelepiped whose sides are given by the vec...

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

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

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  7. Find the value of lambda so that the three vectors are co-planar. hati...

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

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

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

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

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

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

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

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

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

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

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

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

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

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