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If |vec a| = 2, |vec b| = 5 and |vec a x...

If `|vec a| = 2, |vec b| = 5` and `|vec a xx vec b| = 8` then `vec a . vec b`

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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a and vec b are two perpendicular vectors then

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  2. If (vec a xx vec b)^(2) + (vec a . vec b)^(2) = 144 and |vec a| = 4 th...

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  3. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

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  4. A set of direction cosines of the vector which is equally inclined to ...

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  5. If the direction ratios of a vector are 6,2,3, then its direction cosi...

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  6. A vector makes angles 45^(o) and 60^(o) with positive axes of x and y ...

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  7. If alpha, beta, gamma are the angle made by a vector with the coordina...

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  8. If alpha, beta, gamma are the angle made by a vector with the coordina...

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  9. If vec a = -2i+3j, vec b = i+j+k, vec c = lambda i + 4j +2k are the th...

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  10. (vec a - vec b).[(vec b - vec c) xx (vec c - vec a)] =

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  11. With usual notation [i-j j-k k-i] =

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  12. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

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  13. The length of the vector i-2j+2k is

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  14. If vec OA = i-2j+k, vec OB = 2i+2j-k, then vec BA =

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  15. If vec a = i-j+2k, vec b = 2i+3j+k and vec c = i-k then the magnitude ...

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  16. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

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  17. If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

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  18. If vec a and vec b are unit vectors then vec a + vec b is

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  19. If vec a = i+j-2k, vec b = -i+2j+k and vec c = i-2j+2k then a unit vec...

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  20. If vec OA = i-j and vec OB = j-k, the unit vector perpendicular to the...

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