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Find the cosine of the angle between the...

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

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

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

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.

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

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

Cosine of the angle between the lines overliner=5hati-hatj+4hatk+lamda(hati+2hatj+2hatk) and overliner=7hati+2hatj+2hatk+mu(3hati+2hatj+6hatk) is

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

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

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Find a if oversetrarrA = 3hati - 2hatj + 4hatk and oversetrarrB = ahat...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Chose the correct option When 2 vectors oversetrarra and oversetrarr...

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  20. Chose the correct option If a vector has magnitude5, its components...

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