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Show that oversetrarra = frac(oversetrar...

Show that `oversetrarra = frac(oversetrarri - oversetrarrj)(sqrt2)` is a unit vector.

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Chose the correct option If oversetrarra , oversetrarrb , and oversetrarrC are 3 vectors, then which of the following is not correct?

Chose the correct option The angle between oversetrarra and the resultant of (2oversetrarra + oversetrarrb) and (2oversetrarra - oversetrarrb) is

Determine oversetrarra xx oversetrarrb , given oversetrarra = 2hati + 3hatj and oversetrarrb =3hati + 5hatj .

State True/False: If oversetrarra and oversetrarrb are 2 vectors of same magnitude than (oversetrarra + oversetrarrb) is (a) at an angle 45^@ with both vectors.

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

State True/False: If oversetrarra and oversetrarrb are 3 vectors of same magnitude than (oversetrarra + oversetrarrb) is (b) at an angle of 45^@ with any vector

State True/False: If oversetrarra and oversetrarrb are 4 vectors of same magnitude than (oversetrarra + oversetrarrb) is c. in a plain containing the 2 vectors

Find oversetrarrA xx oversetrarrB , where oversetrarrA = 2hati- 5hatj+ 3hatk and oversetrarrB= 3hati+ 4hatj- 9hatk

Show that vectors oversetrarra =2hati + 3hatj + 6hatk , oversetrarrb = 3hati -6hatj + 2hatk and oversetrarrc = 6hati + 2hatj - 3hatk are mutually perpenducalar.

Show that the vectors oversetrarrA = 4hati + 2hatj- 4hatk and oversetrarrB = hati + 4hatj + 3hatK are perpenducular to each other.

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Explain how the rectangular components of a 2-dimensional vector, conv...

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

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

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

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

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

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

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

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

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  10. Give 2 examples of scalar product of vectors.

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

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

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

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

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  15. Distinguish between dot product and cross product.

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

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

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

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

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

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