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If the angle between the plane x-3y+2z...

If the angle between the plane `x-3y+2z=1` and the line `(x-1)/2=(y-1)/1=(z-1)/(-3) is, theta` then the find the value of `cos e cthetadot`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z...

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  2. Let a1, a2, a3.......... be in A.P. and h1,h2,h3.....,in H.P. If a1=2 ...

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  3. If the angle between the plane x-3y+2z=1 and the line (x-1)/2=(y-1)/...

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  4. The length of projection of the line segment joining the points (1,...

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  5. Find the equation of a plane passing through (1, 1, 1) and parallel to...

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  6. Find the equation of the plane passing through the points(2,1,0),(5,0,...

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  7. Find the direction cosines of the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3),

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  8. The value of m for which straight lein 3x-2y+z+3=0=4 x-3y+4z+1 is pa...

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  9. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

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  10. The length of the perpendicular form the origin to the plane passin...

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  11. In a three-dimensional xyz space, the equation x^(2)-5x+6=0 represents

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

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

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

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

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

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  18. Column I, Column II The coordinates of a point on the line x=4y+...

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

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  20. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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