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Determine the area of parallelogram whos...

Determine the area of parallelogram whose adjacent sides are the vector `hati+hatj, -hati+2hatj`

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Let `veca = hati+hatj, vecb = -hati+2hatj`
Then `vecaxxvecb = (hati+hatj)xx(-hati+2hatj)`
=`-hatixxhati+2hatixxhatj-hatjxxhati+2hatixxhatj`
`2hatk+hatk = 3hatk`
Area of the parallelogram
=`|vecaxxveca| = |3hatk|` = 3 square units.
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MBD PUBLICATION-VECTORS-QUESTION BANK
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  6. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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