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Find the scalar triple product vecb.(vec...

Find the scalar triple product `vecb.(veccxxveca)` where `veca, vecb` and `vecc` are respectively `hati+hatj,hati-hatj, 5hati+2hatj+3hatk`.

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Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively 5hati-hatj+4hatk, 2hati+3hatj+5hatk, 5hati-2hatj+6hatk

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Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj-hatk,vecc = hatj +hatk

Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3hatk.

Find a unit vector perpendicular to both of the vectors veca + vecb and veca - vecb where veca = hati + hatj + hatk and b = hati+2hatj+3hatk .

Find the scalar product of the following pairs of vectors and the angle between them. 2hati-3hatj+6hatk and 2hati-3hatj-5hatk

Find the angle between the vectors 3hati+ 4hatj and 2hati+hatj+hatk .

For any vector a , show that a=(a*hati)hati+(a*hatj)hatj+(a*hatk)hatk .

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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. (-veca).vecbxx(-vecc)) =

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  2. For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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