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State the law of parallelogram of vector...

State the law of parallelogram of vectors.
(i) Obtain an expression for the magnitude of the resultant.
(ii) Obtain an expression for the direction of the resultant.

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CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. State and explain the "triangle law of vector addition".

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  2. With the help of diagrams explain the properties of vector addition.

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  3. State the law of parallelogram of vectors. (i) Obtain an expression f...

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  4. Explain the polygon law of vectors. OR What is law of polygon of v...

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  5. Two vectors of equal magnitude acting at a point, produce a resultant,...

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  6. Two vectors oversetrarra and oversetrarrb intersecting at a point, mak...

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  7. What is meant by 'resolution of a vector'? What are "rectangular compo...

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  8. Explain how the rectangular components of a 2-dimensional vector, conv...

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  9. How can the concept of components of a vector be extended to a 3-dimen...

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  10. Show that oversetrarra = frac(oversetrarri - oversetrarrj)(sqrt2) is a...

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  11. If oversetrarrv(1) = 3hati + 4hatj + hatk and oversetrarrv(2) = hati -...

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  12. For oversetrarrv(1) = 2hati - 3hatj and oversetrarrv(2) = -6hati + 5ha...

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  13. Find a vector which is parallel to oversetrarrv = hati - 2hatj and has...

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  14. Show that oversetrarra = 2hati + 5hatj-6hatk and oversetrarrb =hati + ...

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  15. Define scalar product of 2 vectors. State any 2 of its properties.

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  16. Derive the expression for the scalar product of two vectors in "compon...

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  17. Give 2 examples of scalar product of vectors.

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  18. Define vector product (or cross product) of two vectors. Also state th...

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  19. Derive the expression for the vector product of two vectors in the "co...

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  20. Give 2 examples of vector product of two vectors.

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