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Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicualr to thelines : `(x-1)/1=(y-2)/2=(z-3)/3 and x/-3=y/2=z/5`

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Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

Find the equation of the line passing through the point (-1,3,-2) and perpendicular to the lines : x/1=y/2=z/3 and (x+2)/-3=(y-1)/2=(z+1)/5 .

Find the vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the vector and cartesian equations of the line that passes through : the points (1,2,3) and (2,-1,4).

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .

Find the vector and cartesion equation of the line through the point (1,2,3) and is parallel to the line (-x-2)/(3)=(y+3)/(7)=(2z-6)/(3)

Find the equation of the straight line through the point (1,-3,2) and perpendicular to the lines (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x-1)/(-3)=(y-2)/(2)=(z-1)/(5) .

Find the equation of the straight line passing through the point (2,3,-1) and is perpendicular to the lines (x-2)/(2)=(y+1)/(1)=(z-3)/(-3) and (x-3)/(1)=(y+2)/(1)=(z-1)/(-1) .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equations of the straight line passing through the point (2,...

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  2. Find the equations of the straight line passing through the point (1, ...

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  3. Find the vector and cartesian equations of the line passing through th...

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  4. Find the equation in vector anf cartesian form of the line passing thr...

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  5. Find the equation of the line passing through the point (2, -1, 3) and...

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  6. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

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  7. Show that the following points whose psitions vectors are given are co...

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  8. Show that the following points whose psitions vectors are given are co...

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  9. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

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  10. Find the equations of the perpendicular from the point (3,-1,11,) to t...

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  11. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  12. Find the vector equation of a line passing through a point with positi...

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  13. Find the vector equation of a line passing through the point with posi...

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  14. Find the distance of the point (1,2,3) from the line joining the point...

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  15. Find the distance of the point (1,2,3) from the co ordinate axes.

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  16. Find the distance of (-1,2,5) from the plane passing through the poin...

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  17. Find the perpendicular distance of the point (1,0,0) from the line : (...

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  18. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  19. Find the perpendicular distance from the point (1,2,3) to the line : v...

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  20. Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...

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