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Find the equation of line x+y-z-3=0=2x+3...

Find the equation of line `x+y-z-3=0=2x+3y+z+4` in symmetric form. Find the direction ratio of the line.

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Reduce the equation of line x-y+2z=5 and 3x+y+z=6 in symmetrical form.

The cartesian equation of a line is (2x-5)/(3)=(6-3y)/(2)=(z+1)/(6) . Find the direction ratios of the given line.

The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Find the vector equation of the line.

The cartesian equation of a line AB is (3-x)/1=(y+2)/-2=(z-5)/4 . Find the direction ratios of a line parallel to AB.

The cartesian equation of a line AB is (3-x)/(1)=(y+2)/(-2)=(z-5)/(4) . Find the direction ratios of a line parallel to AB.

The equation of the line x+y+z-1=0 , 4x+y-2z+2=0 written in the symmetrical form is

The cartesian equation of a line is 3x+2=5y-4=3-z . Find a point on the line and its direction ratios, hence rewrite this equation in symmetric from and then reduce it to vector form.

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.

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. i...

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  2. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  3. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

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  4. Find the vector equation of line passing through the point (1,2,-4)...

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  5. Find the vector equation of line passing through A(3,4-7)a n dB(1,-...

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  6. Find Cartesian and vector equation of the line which passes through...

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  7. Find the equation of a line which passes through the point (2,3,4) ...

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  8. Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y za...

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  9. A mirror and source of light are situated at the origin O and a point ...

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  10. The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Fi...

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  11. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its dire...

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  12. A line passes through the point with position vector 2 hat i-3 hat ...

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  13. Find the plane of the intersection of x^2+y^2+z^2+2x+2y+2=0 and 4x^2...

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  14. Let l1a n dl2 be the two skew lines. If P ,Q are two distinct points o...

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  15. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...

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  16. Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

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  17. Find the length of the perpendicular drawn from the point(5,4,-1) t...

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  18. The equations of motion of a rocket are x=2t ,y=-4ta n dz=4t , wher...

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  19. Find the shortest distance between the lines vec r=(1-lambda) hat i...

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  20. Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=...

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