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If veca,vecb,vecc are mutually perpendic...

If `veca,vecb,vecc` are mutually perpendicular unit vectors and `vecaxxvecb=vecc`, show that `vecb=veccxxveca` and `veca=vecbxxvecc`.

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

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If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*vecb=vecd*vecc=0 , then show that vecd is a zero vector.

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(veccxxvecd)=1 and veca.vecc=1/2, then

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

The vectors veca and vecb are not perpendicular and vecc and vecd are two vectors satisfying vecbxxvecc=vecbxxvecd and veca*vecd=0 . Then the vector vecd is equal to :

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| .

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb...

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  2. If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxve...

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  3. If veca,vecb,vecc are mutually perpendicular unit vectors and vecaxxve...

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  4. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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

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  6. Prove that |vecaxxvecb|^2=|veca|^2|vecb|^2-(veca*vecb)^2=|:[veca*veca ...

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  7. If veca,vecb,vecc are position vectors of non-collinear points A,B and...

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  8. Prove that the normal to the plane containing three point whose positi...

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  9. Find the unit vectors perpendicular to the plane ABC, where the positi...

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  10. Prove that : sin(A- B) = sin A cos B -cos A sin B.

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  11. Find the moment about (1,-1,-1) of the force 3hati+4hatj-5hatk acting ...

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  12. The force represented by 3hati+2hatk is acting through the point 5hati...

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  13. Find the moment about the point hati+2hatj-hatk of a force represented...

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  14. The force represented by 5hati+hatk is acting through the point 9hati-...

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  15. A force vecF=4hati+hatk acts through point A(0,2,0). Find the moment v...

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  16. Let vecF=2hati+4hatj+3hatk at the point P with position vector hati-ha...

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  17. A force vecF=3hati+2hatj-4hatk is applied at the point (1,-1,2).Find t...

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  18. Two unlike forces of equal magnitudes hatj+2hatk and -hatj-2hatk are a...

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  19. A force of 3 units acts through the point (4,-1,7) in the direction of...

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  20. Find the moment about the point (3,4,5) of the force through the point...

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