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Show that the area of the parallelogram ...

Show that the area of the parallelogram with diagonals `veca` and `vecb`, is `1/2|vecaxxvecb|`.

A

`|veca xx vecb|`

B

`1/2|veca xx vecb|`

C

`1/3|veca xx vecb|`

D

None of these

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The correct Answer is:
B
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Find the area of the parallelogram whose diagonals are veca=3hati-hatj-2hatk and vecb=hati+3hatj+4hatk .

Show that the area of the triangle contained between the vectors veca and vecb is one half of the magnitude of veca xx vecb .

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OMEGA PUBLICATION-VECTOR ALGEBRA -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  2. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  3. If theta is the angle between two vectors veca and vecb, then veca c...

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  4. Let veca and vecb be two unit vectors and theta is the angle between t...

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  5. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

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  6. Using vectors, find the area of the triangle having vertices A (1, 1, ...

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  7. the angle between vectors veca × vecb and vecb × veca is

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  8. Show that the area of the parallelogram with diagonals veca and vecb, ...

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  9. The area of triangle having adjacent sides veca and vecb is :

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  10. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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  11. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  12. If veca*vecb=-|veca||vecb|, then theta=

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  13. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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  14. The product of veca.vecb equals to:

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  15. The product of veca.vecb equals to:

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  16. The vectors a and b are perpendicular, if

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  17. If veca xx vecb=|veca||vecb| sin theta hatn which one is correct

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  18. Find the angle between two vectors vecaand vecb with magnitudes 1 and ...

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  19. Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati...

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  20. Find the area of parallelogram whose adjacent sides are given by the v...

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