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If oversetrarrv(1) = 3hati + 4hatj + hat...

If `oversetrarrv_(1)` = `3hati + 4hatj + hatk` and `oversetrarrv_(2)` = `hati - hatj - hatk` determine the magnitude of `oversetrarrv_1` + `oversetrarrv_2`

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For oversetrarrv_(1) = 2hati - 3hatj and oversetrarrv(2) = -6hati + 5hatj determine the magnitude and directon of oversetrarrv_1 + oversetrarrvunderset(2)

If oversetrarrA = 2hati + hatj - hatk and oversetrarrB = hati + hatj -hatk , determine the unit vector parallel to oversetrarrA xx oversetrarrB .

If vecv_1 = 3hati+4hatj +hatk and vecv_2 =hati -hatj -hatk , determine the magnitude of vecv_1 +vecv_2 .

Find a if oversetrarrA = 3hati - 2hatj + 4hatk and oversetrarrB = ahati +2hatj - hatk are perpendicular to one another.

If oversetrarrP= hati - 2hatj+ 3hatk and oversetrarrQ= 3hati + hatj+ 2hatk . Find the angle between oversetrarrP and oversetrarrQ

Show that oversetrarra = 2hati + 5hatj-6hatk and oversetrarrb =hati + frac(5)(2)hatj -3hatk are parallel.

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CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. How can the concept of components of a vector be extended to a 3-dimen...

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

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

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

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

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

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

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

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  9. Give 2 examples of scalar product of vectors.

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

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

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

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

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  14. Distinguish between dot product and cross product.

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

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

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

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

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

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

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