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If the planes vec(r)*(2hat(i)-lamdahat(j...

If the planes `vec(r)*(2hat(i)-lamdahat(j)+hat(k))=3andvec(r)(4hat(i)+hat(j)-muhat(k))=5` are parallel, then the value of `lambdaandmu` are

A

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

B

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

C

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

D

` (1)/(2),2 `

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Verified by Experts

The correct Answer is:
c
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FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-EXERCISE-6.10(M.C.Q)
  1. The volume of the parallelepiped with its edges represented by the vec...

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  2. If |veca|=2, |vecb|=7 and vecaxxvecb=3hati-2hatj+6hatk find the angle ...

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  3. If veca=hati+hatj+hatk,vecb=hati+hatj, vecc= veci and (vecaxxvec...

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  4. If veca,vecb, vecc are three non-coplanar vectors such that vecax...

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  5. If vec(a),vec(b),vec(c) are three non-coplanar vectors such that vec(a...

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  6. If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),...

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  7. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

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  8. if (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) where veca,vecb,vecc ar...

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

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  10. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

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  11. If the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2)" lies in the plane "x+3y-az...

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  12. The angle between the line vecr=(hati+2hatj-3hatk)+t(2hati+hatj-2hatk)...

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  13. The coordinates of the point where the line vecr=(6hati-hatj-3hatk)+...

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  14. Distance from the origin to the plane 3x - 6y + 2z + 7 = 0 is

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  15. The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z +...

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  16. If direction cosines of a line are (1)/(c),(1)/(c),(1)/(c)," then. "

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  17. The vector equation vec(r)=(hat(i)-2hat(j)-hat(k))+t(6hat(j)-hat(k)) r...

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  18. If the distance of the point (1,1,1) from the origin is half of its di...

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  19. If the planes vec(r)*(2hat(i)-lamdahat(j)+hat(k))=3andvec(r)(4hat(i)+h...

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  20. If the length of the perpendicular from the origin to the plane 2x+3y+...

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