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veca =1/sqrt(10)(3hati + hatk) and vecb ...

`veca =1/sqrt(10)(3hati + hatk)` and `vecb =1/7(2hati +3hatj-6hatk)`, then the value of `(2veca-vecb).[(vecaxxvecb)xx(veca+2vecb)]` is:

A

`-3`

B

5

C

3

D

`-5`

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The correct Answer is:
D
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VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  2. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  3. veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk), then...

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  4. The vectors veca and vecb are not perpendicular and vecac and vecd are...

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  5. If the vectors phati+hatj+hatk, hati+qhatj+hatk and hati+hatj+rhatk(p!...

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  6. If veca, vecb and vecc are three non-zero vectors, no two of which are...

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  7. Let a=hat(j)-hat(k) and b=hat(i)-hat(j)-hat(k). Then, the vector v sat...

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  8. If the vectors a=hat(i)-hat(j)+2hat(k), b=2hat(i)+4hat(j)+hat(k) and c...

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  9. If u, v and w are non-coplanar vectors and p, q are real numbers, then...

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  10. The vectors a=alphahat(i)+2hat(j)+betahat(k) lies in the plane of the ...

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  11. The non-zero vectors veca, vecb and vecc are related by veca=8vecb and...

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  12. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  13. Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj...

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  14. If (veca xx vecb)xx vec c=veca xx (vecb xx vec c), where veca, vecb a...

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  15. The value of a, for which the points A, B, C with position vectors 2ha...

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  16. If C is the middle point of AB and P is any point outside AB, then

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  17. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  18. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

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  19. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

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  20. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

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