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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

`(i+j)/sqrt2`

C

`(i-j)/sqrt2`

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
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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 and vec b are two unit vectors, then the vector (vec a + vec ...

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  5. If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 h...

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  6. If vec a xx vec b = vec c and vec b xx vec c = vec a then

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  7. If vec a, vec b, vec c are linearly independent vectors and Delta = |(...

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  8. If pi(1) and pi(2) be two planes determined by the pairs of vectors ve...

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  9. If vec a xx vec b = vec c and vec b xx vec c = vec a then

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  10. For any vector vec r, (vec r . i)^(2) + (vec r .j)^(2) + (vec r . k )^...

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  11. If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a...

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  12. If |vec a| = 3, |vec b| = 5, and |vec c| = 4 and vec a + vec b + vec c...

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  13. Let vec a, vec b and vec c be three vectors. Then scalar triple produc...

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  14. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

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  15. A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b...

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  16. A vector coplanar with vector i+j and j+k and parallel to the vector 2...

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  17. Let vec a = 2i+j-2k and vec b = i+j. If vec c is a vector such that ...

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  18. The volume of the tetracedron formed by the points (1,1,1) (2,1,3),(3,...

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