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If veca+vecb+vecc=vec0, show that vecaxx...

If `veca+vecb+vecc=vec0`, show that `vecaxxvecb=veccxxveca`. Interpret the result geometrically.

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If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca . Interpret the result geometrically.

If veca+vecb+vecc=vec0 , show that vecaxxvecb=vecbxxvecc=veccxxveca .

If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxvecc=veca , prove that veca,vecb,vecc are mutually at right angles and |vecb|=1,|vecc|=|veca| .

Show that vecaxxvecb=vecaxxvecc does not imply vecb=vecc . Illustrate geometrically.

If vecaxxvecb=vecbxxvecc ne vec0 , show that veca+vecc=vec(mb) m being a scalar.

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , then the value of veca.vecb+vecb.vecc+vecc.veca is

Let veca,vecb,vecc represent the vectors vec(BC),vec(CA) and vec(AB) respectively. Show that vecaxxvecb=vecbxxvecc=veccxxveca and deduce the rule of sines of the triangle.

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

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  2. Find the area of parallelogram whose adjacent sides are given by vecto...

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  3. If veca+vecb+vecc=vec0, show that vecaxxvecb=veccxxveca. Interpret the...

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  4. veca=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk find vecaxxvecb and v...

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  5. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  6. The magnitude of the vector 2hati-6hatj-3hatk is :

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  7. Show that the three points with position vectors -2hati+3hatj+5hatk,ha...

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  8. The value of lambda for which the vectors veca=2hati+lambdahatj+hatk ...

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  9. Let veca=4hati+5hatj-hatk,vecb=hati-4hatj+5hatk and vecc=3hati+hatj-ha...

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  10. Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...

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  11. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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

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  13. Find the position vector of a point R which divides the line joining t...

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

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  15. Find a vector of magnitude 19, which is perpendicular to both the vect...

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  16. Find a vector of magnitude 7 , which is perpendicular to both the vect...

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  17. Find the area of triangle with vertices (1,1,2),(2,3,5),(1,5,5).

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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 |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  20. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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