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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.

A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy, AA x, y in X . Check whether * is commutative and associative. Find its identity element and also find the inverse of each element of X.

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.

If A=N xx N and * is a binary operation on A defined by (a, b) ** (c, d)=(a+c, b+d) . Show that * is commutative and associative. Also, find identity element for * on A, if any.

On the set R of real numbers, a binary operation o is defined by a0b=a+b+a^2b AA a, b inR . Prove that the operation is neither commutative nor associative.

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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. Explain with illustraions motions in one,two and three dimension.

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  2. Explain various types of motion.

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  3. Vector addition is commutative and associative explain.

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  4. State and prove Lami's theorem.

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  5. Find out the magnitude between two points in space p(x1,y1,z1) and Q(x...

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  6. State and explain the law of parallelogram of forces. Find the directi...

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  7. Obtain expression for cross product of two vectors in terms of their r...

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  8. Prove that magnitude of cross product of two vectors is equal to the a...

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  9. Describe the characterstics of a null vector.

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  10. Explain graphically the polygon law of vector addition .

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  11. Show that vector addition is commutative in nature.

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  12. How one finds the difference between two vectors ?

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  13. Express the angles between two vector in terms of their rectangular co...

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  14. Obtain an expression for the magnitude of the position vector of a poi...

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  15. Obtain an expression for cross product of two vector in terms of their...

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  16. Express the angles between two vector in terms of their rectangular co...

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  17. What are scalar and vector quantities. Give five example of each. Exam...

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  18. What is absolute vector.

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  19. State triangle's law of vector addition

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  20. Two force acting on a particle in opposite direction have a resultant ...

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