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What is [vecavecbvecc] when veca,vecb,ve...

What is `[vecavecbvecc]` when `veca,vecb,vecc` are coplanar ?

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If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and vecc+veca are also coplanar.

Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

The scalars l and m such that lveca + m vecb =vecc, " where " veca, vecb and vecc are given vectors, are equal to

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It is given that : vecx=(vecbxxvecc)/([vecavecbvecc]),vecy=(veccxxveca)/([vecavecbvecc]) and vecz=(vecaxxvecb)/([vecavecbvecc]) , where veca,vecb,vecc are _____________ vectors.

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MODERN PUBLICATION-VECTORS-Exercise
  1. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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  2. Classify the following as vector as scalar : veca*vecb,[vecavecbvecc],...

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  3. What is [vecavecbvecc] when veca,vecb,vecc are coplanar ?

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  4. In /\ABC, which of the following is not true ?

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  5. If veca and vecb are two collinear vectors, then which of the followin...

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  6. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  7. Let lambda be any non-zero scalar. Then for what possible values of x,...

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  8. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  9. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  10. If theta is the angle between two vectors veca and vecb, then veca c...

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  11. Let veca and vecb be two unit vectors and theta is the angle between t...

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  12. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

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  13. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  14. The area of the triangle whose adjacent sides are : veca=3hati+hatj+4h...

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

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  16. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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  17. The angle between the vectors hati-hatj and hatj-hatk is :

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  18. The value of 'lambda' for which the two vectors : 2hati-hatj+2hatk and...

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  19. If |veca|=8,|vecb|=3 and |vecaxxvecb|=12, then value of veca*vecb is :

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  20. If veca=2hati-hatj+hatk and vecb=-2hati+hatk, then the vector in the d...

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