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Find a if oversetrarrA = 3hati - 2hatj +...

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

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

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

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

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

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

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Find, oversetrarrP.oversetrarrQ where oversetrarrP = 2hati + 2hatj + h...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Chose the correct option The angle made by 2hati + 3hatj with Z axi...

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  17. Chose the correct option The magnitude of (hati + hatj +hatk) is

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  18. Chose the correct option vector 2hati + 3hatj -7hatk and hati + mha...

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  19. Chose the correct option If (oversetrarra + oversetrarrb) is maximu...

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  20. Chose the correct option If the vector oversetrarrahati + 0.8hatj +...

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