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A unit vector perpendicular to both i+j ...

A unit vector perpendicular to both i+j and j+k is

A

i-j+k

B

i+j+k

C

`(i+j+k)/sqrt3`

D

`(i-j+k)/sqrt3`

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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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  2. vec a .[(vec b + vec c) xx (vec a + vec b + vec c)] =

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  3. A unit vector perpendicular to both i+j and j+k is

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  4. If vec a, vec b, vec c are non-coplanar vectors and lambda is a real n...

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  5. If the volume of the parallelopiped with veca,vecb and vecc as cotermi...

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

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  7. If vec u = vec a - vec b, vec nu = vec a + vec b and |vec a| = |vec b|...

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  8. Unit vector perpendicular to hati - 2 hatj + 2hatk and lying in the pl...

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  9. If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...

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  10. If vec a . i = vec a . (i+j) = vec a . (i+j+k) = 1, then vec a =

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  11. If vec a and vec b are unit vectors such that |vec a + vec b| =1, then...

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  12. The projection of a = 3i - j + 5k on b = 2i + 3j +k is

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  13. If vec a. vec b = ~ |vec a||vec b| then angle between vec a and vec b ...

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  14. If vec a + 2 vec b + 3 vec c = vec 0, then (vec a xx vec b)+ (vec b xx...

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  15. If vec a, vec b, vec c non zero coplanar vectors, then, [2 vec a - vec...

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  16. If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...

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  17. If the points with position vectors 10 hati + 3 hatj, 12 hati- 5 hatj ...

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  18. If 2hati+3hatj,hati+hatj+hatk and lambdahati+4hatj+2hatk taken in an o...

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  19. If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx ve...

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  20. Angle between the vectors vec a and vec b, where vec a, vec b and vec ...

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