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If vecA xx vecB = vecC what vecC represe...

If `vecA xx vecB = vecC` what `vecC` represents.

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|veca| = |vecb| = veca = vecb .

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Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (veca xx vecb) = vec0 and hence prove that veca xx (vecb xx vecc), vecb xx (vecc xx veca), vecc xx (veca xx vecb) are coplanar.

If vecaxxvecb = vecbxxvecc ne vec0 , prove that veca+vecc = mvecb , where m is a scalar.

If veca,vecb,vecc are such that veca.vecb = veca.vecc then show that veca = vec0 or vecb = vecc or veca is perpendicular to vecb.vecc .

When vecR = vecA xx vecB what is the angle between vecR and vecB ?

Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively hati+hatj,hati-hatj, 5hati+2hatj+3hatk .

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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. Explain cross product of vectors.

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  2. Give examples of translatory motion and explain it.

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  3. If vecA xx vecB = vecC what vecC represents.

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  4. A quantity having magnitude and direction to be a vector most obey fo...

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  5. A quantity which possesses both magnitude and direction a vector.

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  6. When a vector is multiplied with a dimensionless scalar, it will be a ...

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  7. The resultantof adding a vector to it's own negative is calledvector.

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  8. When two vectors are parallel to each other their cross product is .

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  9. The vector addition is from scalar addition.

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  10. Antiparallel vectors are inclined to each other at an angle of .

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  11. Vector can be added algebraically.

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  12. A vector vecA is negative of vecB if they are equal in magnitude but ...

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  13. Vector having common initial point are called vectors.

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  14. A vector with zero magnitude and without nay definite direction is cal...

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  15. Vector having direction are called parallel vectors.

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  16. Vectors having common line of action are called vectors.

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  17. Dot product of two vectors is a quantity.

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  18. Cross product of two vectors is a quantity.

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  19. Magnitude of cross product of two antiparallel vectors is .

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  20. Dot product of two perpendicular vectors is .

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