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If veca = 3hati+hatj-2hatk, vecb = 2hati...

If `veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk` then verify that `vecaxxvecb` is perpendicular to both `veca` and `vecb`.

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Now `(vecaxxvecb).veca`
= `(10hati-8hatj-11hatk).)3hati+hatj+2hatk)`
=30-8-22 = 0
Again `(vecaxxvecb).vecb`
= `(10hati-8hatj-11hatk).(2hati-3hatj+4hatk)`
= 20+24-44 = 0
Hence `vecaxxvecb` is perpendicular to both `veca` and `vecb`. (Proved).
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MBD PUBLICATION-VECTORS-QUESTION BANK
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  2. if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+h...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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