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If vec(alpha)=2hati+3hatj-hatk, vec(beta...

If `vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=hati+hatj+hatk`, then `(vec(alpha)xxvec(beta)).(vec(alpha)xxvec(gamma))` is equal to

A

47

B

74

C

`-74`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
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  2. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

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  3. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

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  4. If a .(b xx c) = 0, then the correct statement is

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  5. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

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  6. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

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  7. The vector r is equal to

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  8. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

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  9. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

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  10. The position vectors of P and Q are respectively vec a and vec b . If ...

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  11. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

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  12. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

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  13. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

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  14. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

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  15. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

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  16. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

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  17. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

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  18. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

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  19. If a vector alpha lie in the plane of beta and gamma , then which is...

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  20. If vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=...

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