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Find a vector of magnitude 9, which is p...

Find a vector of magnitude 9, which is perpendicular to both the vectors : `4hati-hatj+3hatk` and `-2hati+hatj-2hatk`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

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  2. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

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  3. Find a vector of magnitude 9, which is perpendicular to both the vecto...

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  4. If vec a and vec b are unit vectors and theta is the angle between the...

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  5. Determine the area of the parallelogram whose adjacent sides are 2 hat...

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

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  7. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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