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if vec = 2hati+hatj-hatk, vecb = -hati+2...

if `vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+hatk`, find `(vecaxxvecb).(vecaxxvecc)`.

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=`2hati-3hatj+hatk(vecaxxvecb).(vecaxxvecc)`
`(2hati-9hatj+5hatk).(2hati-3hatj+hatk)`
=-4-27+5 = -26.
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MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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

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  3. if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+h...

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  4. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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  5. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

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  6. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...

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  7. Each question given below has four possible answers out of which only ...

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  8. (-veca).vecbxx(-vecc)) =

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

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

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

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

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

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

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

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

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

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

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

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

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