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Vector addition is commutative and assoc...

Vector addition is commutative and associative explain.

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Rectify the mistake : Matrix multiplication is commutative and associative,

Let ast be a binary operation on the set of real numbers, defined by a astb=frac[ab][5] , for all a,binR . Show that ast is both commutative and associative.

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Show that vector addition is commutative in nature.

Let A=R xx R and be the binary operation on A defined by (a, b) *(c,d) = (a + c, b + d). Show that *is commutative and associative. Find the identity element for* on A, if any.

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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. What are the associated properties of vector quantity ?

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  2. state polyogn law of vector addition ?

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  3. Vector addition is commutative and associative explain.

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  4. State and prove law of paralllelogram of forces.

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  5. Explain dot product of vectors.

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  6. Explain cross product of vectors.

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  7. Give examples of translatory motion and explain it.

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

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

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

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

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

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

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  14. The vector addition is from scalar addition.

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

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  16. Vector can be added algebraically.

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

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  18. Vector having common initial point are called vectors.

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

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  20. Vector having direction are called parallel vectors.

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