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

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

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

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

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

Show that vectors veca= 2hati+5hatj-6hatk and vecb=hati+5/2 hatj -3hatk are parallel.

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

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

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

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

Determine the vector product of oversetrarrvunderset(1) = 2hati + 3hatj-hatk and oversetrarrvunderset(2) = hati + 2hatj-3hatk

Find the cosine of the angle between the given vectors: oversetrarrP=3hati +12hatj-4hatk and oversetrarrQ= 2hati + 2hatj+ hatk

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. For oversetrarrv(1) = 2hati - 3hatj and oversetrarrv(2) = -6hati + 5ha...

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

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

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

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

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  6. Give 2 examples of scalar product of vectors.

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

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

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

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

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  11. Distinguish between dot product and cross product.

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

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

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

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

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

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

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

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

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

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