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A unit vector in the xy plane that makes...

A unit vector in the xy plane that makes an angle of `45^(o)` with the vector i+j and an angle of `60^(o)` with the vector 3i-4j is

A

i

B

`1/sqrt2 (i+j)`

C

1/2 (i+j)

D

none of these

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The correct Answer is:
D
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a and vec b are two unit vectors, then the vector (vec a + vec ...

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  2. Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k, a unit vecto...

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  3. A unit vector in the xy plane that makes an angle of 45^(o) with the v...

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  4. If vec A = 2i+3j+4k, vec B = i+j+5k and vec C form a left handed syste...

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  5. If vec a, vec b, vec c, vec d are the vertices of a square then

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  6. If vec a, vec b, vec c are mutually perpendicular unit vectors then |...

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  7. If vec a and vec b are unit vectors and theta is the angle between the...

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  8. The ratio in which i+2j+3k divides the join of -2i+3j+5k and 7i-k is

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  9. If |vec a| =5, |vec b| =6, vec a . vec b = 24 then |vec a xx vec b| =

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  10. If alpha and beta are two nonzero and different vectors such that |vec...

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  11. If vec a = i + lambda j + k, vec b = i+j+k, then for |vec a + vec b| =...

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  12. The three points whose position vectors are i+2j+3k, 3i+4j+7k, and -3i...

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  13. If vec a = i + 2j+3k, vec b = i-2j+k, vec c = 4i+3j-2k and vec a + lam...

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  14. If vec a and vec b are unit vectors |vec a xx vec b| =1 then the angle...

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  15. If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1, then |vec(a) -...

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  16. If the position vectors of A and B are 3i-2j+k and 2i+4j+3k then |vec ...

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  17. If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a...

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  18. (vec b xx vec c) xx (vec c xx vec a ) =

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  19. If vec a = 2i+3j-4k, vec b = i + j +k and vec c = 4i+2j+3k, then |vec...

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  20. If theta is the angle between the vectors 2i-2j+4k and 3i+j+2k then si...

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