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Let veca = 2hati+(lambda)1hatj+3hatk , v...

Let `veca = 2hati+(lambda)_1hatj+3hatk` , `vec(b)=4hati+(3-(labda)_2)hatj+6hatk` and `vec(c)=3hati+6hatj+((lambda)_3-1)hatk` be three vectors such that `vec(b)=2 vec(a)` and `vec(a)` is perpendicular to `vec(c)` then a possible value of `((lambda)_1,(lambda)_2,(lambda)_3)` is: (a) `(1,3,1)` (b) `((-1/2),4,0)` (c) `(1,5,1)` (d) `((1/2), 4, -2)`

A

(1, 2, 3)

B

`(-1//2,4,0)`

C

`(1//2,4,-2)`

D

(15, 1)

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B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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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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