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How can the concept of components of a v...

How can the concept of components of a vector be extended to a 3-dimension vector?

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CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. What is meant by 'resolution of a vector'? What are "rectangular compo...

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

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

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

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

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

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

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

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

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

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  11. Give 2 examples of scalar product of vectors.

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

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

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

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  15. Explain the physical significance of the magnitude of the cross produc...

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  16. Distinguish between dot product and cross product.

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  17. Determine oversetrarra xx oversetrarrb, given oversetrarra = 2hati + 3...

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  18. Show that vectors oversetrarra =2hati + 3hatj + 6hatk, oversetrarrb = ...

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  19. Determine the vector product of oversetrarrvunderset(1)= 2hati + 3hatj...

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  20. Given oversetrarrvunderset(1)=5hati + 2hatj and oversetrarrvunderset(2...

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