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Find a vector which is parallel to overs...

Find a vector which is parallel to `oversetrarrv = hati - 2hatj` and has magnitude 10.

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Find a vector, which is parallel to vec v = vec i - 2 vec j and has a magnitude 10.

Find a unit vector in the direction of the vector 3hati +4hatj

Find the area of the triangle formed by oversetrarrA =3hati - 4hatj + 2hatk m and oversetrarrB =hati + hatj- 2hatk as adjacent sides.

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

Find, oversetrarrP.oversetrarrQ where oversetrarrP = 2hati + 2hatj + hatk and oversetrarrQ = hati-hatj+ 2hatk

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

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

Find unit vectors perpendicular to the plane of the vectors. oversetrarrA =hati -2hatj + hatk and oversetrarrB = 2i- k

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

The vector eqution of the plane passing through a point having position vector hati-hatj+hatk and parallel to the vectors 2hati+hatj+hatk" and " hatj+2hatk is

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. If oversetrarrv(1) = 3hati + 4hatj + hatk and oversetrarrv(2) = hati -...

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

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

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

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

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

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  7. Give 2 examples of scalar product of vectors.

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

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

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

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

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  12. Distinguish between dot product and cross product.

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

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

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

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

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

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

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

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

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