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The projection of the line (x+1)/(-1)=(y...

The projection of the line `(x+1)/(-1)=(y)/(2)=(z-1)/(3)` on the plane `x-2y+z=6` is the line of intersection of this plane with the plane

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The image of the line (x -1)/(3) = (y -3)/(1) = (z -4)/(-5) in the plane 2x - y + z + 3=0 is the line-

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is __

Find the direction ratios of orthogonal projection of line (x-1)/1=(y+1)/(-2)=(z-2)/3 in the plane x-y+2z-3=0. also find the direction ratios of the image of the line in the plane.

The angle between the line (x-1)/(2)=(y-2)/(1)=(z+3)/(-1) and the plane x+y+4=0 is __

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

Find the angle between the line (x-2)/(1)=(y+1)/(3)=(z-4)/(2) and the plane 3x-2y+4z=6 .

Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plane 3x-3y+10z-26=0.

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Perpendiculars are drawn from points on the line (x + 2)/(2) = (y +1)/(-1) = (z)/(3) to the plane x + y + z = 3 . The feet of perpendiculars lie on the line

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The vector equation of the plane passing through the origin and the ...

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  2. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

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  3. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

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  4. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

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  5. The intercepts made on the axes by the plane which bisects the line jo...

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  6. The pair of lines whose direction cosines are given by the equation...

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  7. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  8. A line with positive direction cosines passes through the point P(2, -...

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  9. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  10. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

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  11. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  12. The equation of the plane through the line of intersection of the plan...

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  13. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

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  14. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

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  15. Find the following are equations for the plane passing through the p...

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  16. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

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  17. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

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  18. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

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  19. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

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  20. The equation of a plane which passes through the point of intersection...

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