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Show that vector addition is commutative...

Show that vector addition is commutative in nature.

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Expalin the statement that " vector addition is commutative".

Vector addition is commutative and associative explain.

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.

Consider the binary operation **:R xxR to R and o:R xx R to R defined as a**b = |a-b| and a o b = a . For all a , b in R . Show that * is commutative but not associative, .o. is associative but not commutative.

If A=[{:(1,-2,3),(-4,2,5):}] and B=[{:(2,3),(4,5),(2,1):}] then find AB and BA. Show that A and B are not commutative, i.e. AB ne BA .

The vector addition is _____ from scalar addition.

Show that addition, subtraction and multiplication are binary operations on R. Also, show that division is not a binary operation on the set R.

Rectify the mistake : Matrix multiplication is commutative and associative,

Let* be the binary operation defined on Q. Which of the binary operations are commutative? a*b= (a-b)^(2) , AA a , b in Q

Subtraction of two vectors is not commutative.

MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. Describe the characterstics of a null vector.

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  2. Explain graphically the polygon law of vector addition .

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  3. Show that vector addition is commutative in nature.

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  4. How one finds the difference between two vectors ?

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

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

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

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

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

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  10. What is absolute vector.

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  11. State triangle's law of vector addition

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

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  13. State and prove law of paralllelogram of forces.

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  14. State and prove law of paralllelogram of forces.

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  15. What is dot produt. How do you distiguish it form cross product.

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  16. If abs(vecA+vecB)=abs(vecA-vecB) find the angle between vecA and vecB...

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  17. Explain parallelogram's law of vector addition by graphical method.

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  18. Distinguish between rectilinear motion and curvillinear motion illustr...

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  19. Explain graphically the polygon law of vector addition .

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

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