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Prove that |vecaxxvecb|/(veca*vecb)= tan...

Prove that `|vecaxxvecb|/(veca*vecb)`= tan theta`, where `theta` is the angle between `veca` and `vecb`.

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If veca and vecb are two vectors such that |veca*vecb|=|vecaxxvecb| , then what is the angle between veca and vecb ?

If veca and vecb are two vectors such that |\veca.vecb|=|\vecaxxvecb| , then what is the angle between veca and vecb ?

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the area of the parallelogram with diagonals veca and vecb, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. With help of vectors find the area of the triangle with vertices A(2,3...

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  17. Find, with help of vectors, the area of the triangle with vertices : A...

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  18. Find the area of triangle with vertices (1,2,4),(3,1,-2)and(4,3,1).

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  19. Find the value of 'x' if the area of triangle is 35 square cm. With ve...

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  20. If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb...

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