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If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-...

If `a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k)`, then the value of `(2a-b).[(a times b) times (a+2b)]` is

A

3

B

-5

C

-3

D

5

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B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
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  6. If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

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  7. If abs(a)^(2)=8" and "a times (i+j+2k)=0 then the value of a*(-i+j+4k)...

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  8. If a, b, c are unit vectors, then the maximum value of abs(a+2b)^(2)+a...

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  9. Let veca=2hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector such th...

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  11. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  13. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  14. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

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  15. The vectors a and b are not perpendicular and c and d are two vectors ...

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  16. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

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  17. Let a,b and c be three non-zero vectors which are pairwise non-colline...

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  18. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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  19. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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