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If abs(bara)=4,abs(barb)=2 and the angl...

If ` abs(bara)=4,abs(barb)=2` and the angle between `bara` and `barb` is `(pi)/6`, then `(bara xx barb)^(2)` is equal to

A

48

B

16

C

9

D

none of these

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If abs(bara)=4,abs(barb)=2 and the angle between bara and barb is (pi...

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  2. If a, b, c are vectors such that [a b c] = 4 then [a times b" " btimes...

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  3. If a+b+c=0 and |a|=5, |b|=3 and |c|=7, then angle between a and b is

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  4. If abs(a)=5, abs(b)=4, abs(c)=3 then the value of (a*b+b*c+c*a) given ...

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  5. lf bara = 3i - 5j and barb = 6i + 3j are two vectors, and barc is a ve...

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  6. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

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  7. A particle acted by constant forces 4 hat i+ hat j-3 hat ka n d3 ha...

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  8. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

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  9. If a,b,c are non coplanner vectors and lambda is a real no.then the ve...

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  10. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  11. Let veca,vecb and vecc be the non zero vectors such that (vecaxxvecb)x...

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  12. If C is the mid-point of AB and P is any point outside AB, then

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  13. For any vector x, the value of (vecx×hati)^2+(vecx×hatj)^2+(vecx×hatk)...

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  14. Let a, b,c be distinct non-negative numbers. If the vectors ai + aj + ...

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  15. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

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  16. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  17. If (a xx b) xx c = a xx (b xx c). Where a,b and c are any three vector...

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  18. Values of a for which the points A, B, C with position vectors 2i - j+...

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  19. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

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  20. If hat u and hat v are unit vectors and theta is the acute ang...

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