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determine the area of the parallelogram ...

determine the area of the parallelogram whose adjacent sides are : `hati+hatj+3hatk` and `3hati+2hatj+hatk`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

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  2. determine the area of the parallelogram whose adjacent sides are : hat...

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  3. determine the area of the parallelogram whose adjacent sides are : hat...

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  4. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

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  5. Find the area of the quadrilateral whose diagonals are given by 3hat...

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

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  7. Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2).

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  8. Prove that |vecaxxvecb|/(veca*vecb)= tan theta, where theta is the ang...

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  9. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

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  10. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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  11. Find |veca*vecb|, if |veca|=5,|vecb|=13 and |vecaxxvecb|=25.

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  12. If |veca|=13,|vecb|=5 and veca*vecb=60, then find |vecaxxvecb|.

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  13. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

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  14. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  15. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  16. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  17. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  18. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  19. Prove that the unit vcetor perpendicular to each of the vcetors 2hati-...

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  20. Show that the three points veca-2vecb+3vecc, 2veca+3vecb-4vecc and -7v...

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