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Show that the following lines are coplan...

Show that the following lines are coplanar `(5-x)/-4=(y-7)/-4=(z+3)/-5 and (x-8)/7=(2y-8)/2=(z-5)/3`

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Show that the following lines are perpendicular (-x+2)/(-2)=(y-1)/(7)=(z+3)/(-3) and (x+2)/(-1)=(2y-8)/(4)=(z+5)/(4)

Show that the following lines are perpendicular (x-3)/(2)=(y+1)/(-3)=(z-2)/(4) and (x+2)/(2)=(y-4)/(4)=(z-5)/(2)

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.

Find the angle between the followig pair of lines : (-x+2)/-2=(y-1)/7=(z+3)/-3 and (x+2)/-1=(2y-8)/4=(z-5)/4 and check whether the lines are parallel or perpendicuar.

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

Find the angle between the following pair of lines: (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-2=(y-4)/8=(z-5)/4 .

Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)/(2) and (x+3)/(3)=(y-2)/(5)=(z+5)/(4)

Find the angle between the following pairs of lines : (5-x)/3=(y+3)/-4, z=7 and x=(1-y)/2=(z-6)/2

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.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  2. Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...

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  3. Show that the following lines are coplanar (5-x)/-4=(y-7)/-4=(z+3)/-5 ...

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  4. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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

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  6. Find the equations the lines joining the following pair of vertices : ...

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  7. Find the equations the lines joining the following pair of vertices: (...

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  8. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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  9. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  10. Find the equation of the plane with the intercept 5 on the y axis and ...

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  11. Find the equation of the plane with intercept 4 on the z axis and para...

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  12. Find the vector equation of a plane, which is at a distance of 7 uits ...

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  13. Find the vector equation of a plane, which is at a distance of 5 units...

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  14. Find the vector equation of the plane whose cartesian form of equation...

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  15. Find the vector equation of the plane whose cartesian form of equation...

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  16. Find the cartesian equations of the following planes: vecr*(3hati+3hat...

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  17. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  18. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  19. What are the direction cosines of the normal to the plane 3x+2y-3z=8?

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  20. Find the direction cosine of the perpendicular from origin to plane ve...

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