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If veca = (hati + hatj +hatk), veca. vec...

If `veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -hatk , " then " vecb` is (a)`hati - hatj + hatk` (b) `2hati - hatk` (c) `hati` (d) `2hati`

A

`hati - hatj + hatk`

B

`2hatj - hatk`

C

`hati`

D

`2hati`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. If non-zero vectors veca and vecb are perpendicular to each ot...

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  2. The volume of the tetrahedron whose vertices are the points with posit...

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  3. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

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  4. ABC is isosceles triangle, right angled at A. The resultant of the for...

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  5. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

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  6. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

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  7. If veca and vecb are mutually perpendicular unit vectors, vecris a vec...

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  8. If V is the volume of the parallelepiped having three coterminous edge...

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  9. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

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  10. If hati, hatj, hatk are unit orthonormal vectors and veca is a vector,...

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  11. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

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  12. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

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  13. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

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  14. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  15. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

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  16. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

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  17. Given that veca,vecc,vecd are coplanar the value of (veca + vecd).{vec...

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  18. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

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  19. If A(1,-1,-3),B(2,1,-2) and C(-5,2,-6) are the position vectors of the...

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  20. If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb...

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