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The sine of the angle between vectors ve...

The sine of the angle between vectors `vec(a)=2hat(i)-6hat(j)-3hat(k) and vec(b)=4hat(i)+3hat(j)-hat(k)`

A

`(4hat(i) + 3hat(j) - hat(k))/(sqrt(26))`

B

`(2hat(i) - 6hat(j) - 3hat(k))/(7)`

C

`(3hat(i) - 2hat(j) + 6hat(k))/(7)`

D

`(2hat(i) - 3hat(j) -6hat(k))/(7)`

Text Solution

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL -I)
  1. If vec(c) =2lambda (vec(a)timesvec(b))+3mu (vec(b)times vec(a)),vec(a)...

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  2. If vec(a) = 2hat(i) + hat(j) + 2hat(k), vec(b) = 5hat(i) - 3hat(j) + h...

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  3. The sine of the angle between vectors vec(a)=2hat(i)-6hat(j)-3hat(k) a...

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  4. if vecu=hati+hatj , vecv=hati-hatj and vecw=hati+2hatj+3hatk.if vecnis...

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  5. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat i...

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  6. If the vector vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat...

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  7. The vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + ve...

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  8. Consider points A, B, C and D with position vectors 7hat(i) - 4hat(j)...

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  9. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

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  10. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

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  11. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  12. For any vector vec(a) |vec(a)xx hat(i)|^(2)+ |vec(a)xx hat(j)|^(2)+ |h...

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  13. If C is the mid-point of AB and P is any point outside AB, then

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  14. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  15. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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  16. ABC is triangle, right angled at A. The resultant of the forces acting...

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  17. The values of a for which the points A, B, and C with position vectors...

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  18. If vec(u) and vec(v) are unit vectors and theta is the actue angle...

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  19. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

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  20. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

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