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Calculate the area of the triangle ABC (...

Calculate the area of the triangle ABC (by vector method) where A(1,2,4), B(3,1,-2), C(4,3,1)

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Area of `triangle ABC`
= `1/2 sqrt(81+144+25) = 1/2 sqrt(250)`
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MBD PUBLICATION-VECTORS-QUESTION BANK
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  2. Determine the area of parallelogram whose adjacent sides are the vecto...

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  3. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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  4. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

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  5. Determine the sine of the angle between the vectors 5hati-3hatj, 3hati...

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  6. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

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  7. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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

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

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

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

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

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

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

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

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

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

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

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

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

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