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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 `pi/4` with the vector `hati+hatj` and an angle of with the vector `3hati-4hatj` is

A

`hati`

B

`(1)/(sqrt(2))(hati+hatj)`

C

`(1)/(sqrt(3))(hati+hatj+hatk)`

D

Not in existence

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AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. Let a,b,c be three distinct positive real numbers. If vecp,vecq,vecr l...

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  2. Let veca and vecb are unit vectors inclined at an angle alpha to each ...

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  3. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

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  4. The vectors 2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+ha...

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  5. Let veca,vecb and vecc are three vectors such that |veca|=3, |vecb|=3,...

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  6. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

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  7. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

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  8. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

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  9. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  10. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

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  11. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

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  12. A unit vector perpendicular to the plane passing through the points w...

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  13. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

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  14. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

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  15. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  16. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

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  17. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

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  18. If the verticles of a tetrahedron have the position vectors vec0, hati...

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  19. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

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  20. The unit vector veca and vecb are perpendicular, and the unit vector v...

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