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Let L1 be the line vec r1=2 hat i+ hat ...

Let `L_1` be the line ` vec r_1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)` and let `L_2` be the line ` vec r_2=3 hat i+ hat j+mu(hat i+ hat j- hat k)` . Let `pi` be the plane which contains the line `L_1` and is parallel to `L_2dot` The distance of the plane `pi` from the origin is a. `sqrt(6)` b. `1//7` c. `sqrt(2//7)` d. none of these

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

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  2. A unit vector parallel to the intersection of the planes vec r. \ (...

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  3. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

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  4. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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  5. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

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  6. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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  7. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

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  8. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  9. Statement 1: there exists a unique sphere which passes through the ...

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  10. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

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  11. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

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  12. Find the number of sphere of radius r touching the coordinate axes...

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  13. Find the distance of the z-axis from the image of the point M(2-3,3...

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  14. A line with direction cosines proportional to 1,-5, a n d-2 meets li...

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  15. If the planes vec rdot( hat i+ hat j+ hat k)=q1, vec rdot( hat i+2a h...

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  16. The equation of a line passing through the point vec a parallel to ...

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  17. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

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  18. Statement 1: Vector vec c=5 hat i+7 hat j+2 hat k is along the bisect...

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  19. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  20. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

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