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Let alpha=ahati+bhatj+chatk,beta=bhati+c...

Let `alpha=ahati+bhatj+chatk,beta=bhati+chatj+ahatk` and `gamma=chati+ahatj+bhatk` be three coplanar vectos with `aneb` and `v=hati+hatj+hatk`. Then v is perpendicular to

A

`vec alpha`

B

`vec beta`

C

`vec gamma`

D

`vec alpha+ vec beta + vec gamma`

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MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
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  2. Let vecA be vector parallel to line of intersection of planes P1 and P...

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  3. Let alpha=ahati+bhatj+chatk,beta=bhati+chatj+ahatk and gamma=chati+aha...

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  4. If veca= x hati+yhatj+zhatk, vecb= yhati+zhatj+xhatk, vecc=zhati+xhatj...

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  5. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  6. Let a plane pass through orogin and is parallel to the line: (x-1)/2=(...

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  7. A non-zero vectors a is parallel to the line of intersection of the pl...

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  8. For two events A and B, let P(A)=3/5, P(B)=2/3, then which of the foll...

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  9. If A and B are two events such that P(B)ne1, B^c denotes the event com...

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  10. Suppose that vecp, vecq and vecr are three non-coplanar vectors in R^3...

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  11. Let veca,vecb and vecc be three non-coplanar unit vectors such that th...

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  12. The square of the shortest distance between the lines : vecr=s(hati-ha...

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  13. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

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  14. If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb|, then |veca xx vecb|...

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  15. If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2, then ...

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  16. Consider the lines : L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)...

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  17. Value of lambda so that the planes: x-y+z+1=0, lambdax+3y+2z-3=0, 3x+l...

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  18. If A and B are two events of an expeiment with P(A)=1/4, P(AuuB)=1/2, ...

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  19. One function is selected at random from all functions of the set S={1,...

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  20. Football teams T1 and T2 have to play two games against each other. It...

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