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The sum of the distinct real values of ...

The sum of the distinct real values of mu for which the vectors, `muhat(i)+hat(j)+hat(k),hat(i)+muhat(j)+hat(k),hat(i)+hat(j)+muhat(k)` are co-planar is :

A

-1

B

0

C

1

D

2

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

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  2. The area (in sq units) of the parallelogram whose diagonals are along ...

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  3. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

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  4. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

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  5. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

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  6. If the position vectors of the vertices A,B and C of a triangleABC are...

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  7. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

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  8. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

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  9. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

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  10. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

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  11. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

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  12. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

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  13. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

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  14. The sum of the distinct real values of mu for which the vectors, muha...

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  15. Let a , b and c be three unit vectors out of which vectors b an...

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  16. Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...

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  17. Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...

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  18. If unit vector a makes angles pi/3 with i, pi//4 with j and theta in (...

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  19. if the volume of parallelopiped formed by the vectors hati+lamdahatj+h...

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  20. Let a=3hati + 2hatj + 2hatk and b= hati + 2hatj - 2hatk be two vectors...

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