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Show that the lines (x+1)/-3=(y-3)/2=(z+...

Show that the lines `(x+1)/-3=(y-3)/2=(z+2)/1` and `x/1=(y-7)/-3=(z+7)/2` intersect. Find the point of intersection and the equaion of the plane contianing them.

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Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/-2 do not intersect.

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Show that the two lines x+1/3=y+3/5=z+5/7 and x-2/1=y-4/3=z-6/5 intersect each other. Find also the point of intersection.

Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect each other. Also find their point of intersection.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect each other . Find also the point of intersection.

Show that the lines (x-1)/2=(y-3)/-1=(z)/-1 and (x-4)/3=(y-1)/-2=(z+1)/-1 are coplanar.

Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other . Find also the point of intersection.

A line with direction numbers is drawn to intersect the lines (x-5)/3=(y-7)/-1=(z+2)/1 and (x+3)/-3=(y-3)/2=(z-6)/4 . find the coordinates of the points of intersection of the length intercept on it.

Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5)/5 are coplanar. Also find the equation of the plane containing the lines.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the co-ordinates of the points where the line through the points ...

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  2. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  3. Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 ...

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

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  5. Find the length and the foot of the perpendicular from the point (7, 1...

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  6. find the length and the foot of perpendicular drawn from the point (1,...

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  7. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  8. Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-...

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  9. Find the length and foot of perpendicular drawn from the point (3,2,1)...

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

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

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  12. Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+...

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

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  14. Find the ratio in which the plane ax+by+cz+d=0 divides the join of the...

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

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  16. Find the angle between the planes 2x-3y+4z=1 and -x+y=4.

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  17. Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+h...

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  18. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  19. Show that the plane passing through the points (1,1,1), (1,-7,1) and (...

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  20. Find the equation of the plane passing through the points (1,-1,2) and...

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