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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 `5hati-hatj+4hatk, 2hati+3hatj+5hatk, 5hati-2hatj+6hatk`

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5(18+10)+1(12-25)+4(-4-15)
140-13-76 = 140-89 = 51.
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Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively hati+hatj,hati-hatj, 5hati+2hatj+3hatk .

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

Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk

Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk .

If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

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

If veca = hati+2hatj+hatk , vecb = 2hati- 2hatj + 2hatk and vecc = hati + 2hatj + hatk then

Find veca. (vecb xx vecc) if veca=2hati + hatj + 3hatk , vecb= -hati + 2hatj + hatk and vecc = 3hati + hatj + 2hatk .

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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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