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Show that vectors oversetrarra =2hati + ...

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

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

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

Show that vectors veca= 2hati+3hatj+6hatk, vecb= 3hati -6hatj+2hatk and vecc=6hati+2hatj-3hatk are mutually perpendicular.

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

Find the angle between the vectors oversetrarrA =2hati + 3hatj+ 2hatk and oversetrarrB= hati- hatj +3hatk

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

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

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

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

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

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Distinguish between dot product and cross product.

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

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

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

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

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

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

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

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

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

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

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

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  13. A particle has a displacement represented by oversetrarrr = (hati + 2h...

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  14. Find oversetrarrA xx oversetrarrB, where oversetrarrA = 2hati- 5hatj+ ...

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  15. If oversetrarrA = 2hati + hatj - hatk and oversetrarrB = hati + hatj -...

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  16. A force oversetrarrF =(4hati + 2hatj -hatk) N acts on a body at a dist...

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  17. Find the area of the triangle formed by oversetrarrA =3hati - 4hatj + ...

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  18. Find the area of the parallelogram with adjacent sides formed by overs...

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  19. If |barA+barB|=|barA-barB|then what can be the angle between barA and...

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  20. Using the rule for different for quotient of two functions,prove that ...

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