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Derive the expression for the scalar pro...

Derive the expression for the scalar product of two vectors in "component form".

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CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Show that oversetrarra = 2hati + 5hatj-6hatk and oversetrarrb =hati + ...

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

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

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  4. Give 2 examples of scalar product of vectors.

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

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

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

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

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  9. Distinguish between dot product and cross product.

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

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

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

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

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  14. Find, oversetrarrP.oversetrarrQ where oversetrarrP = 2hati + 2hatj + h...

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  15. Show that the vectors oversetrarrA = 4hati + 2hatj- 4hatk and oversetr...

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  16. Find a if oversetrarrA = 3hati - 2hatj + 4hatk and oversetrarrB = ahat...

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  17. Find unit vectors perpendicular to the plane of the vectors. oversetra...

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  18. Find the cosine of the angle between the given vectors: oversetrarrP=3...

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  19. Find the angle between the vectors oversetrarrA =2hati + 3hatj+ 2hatk ...

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  20. If oversetrarrP= hati - 2hatj+ 3hatk and oversetrarrQ= 3hati + hatj+ 2...

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