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

Show that the lines : `(x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+5)/2` are perpendicular to each other.

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Find k so that the lines : (x-3)/2=(y+1)/3=(z-2)/(2k) and (x+2)/1=(4-y)/k=(z+5)/1 are perpendicular to each other.

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

Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/-2 do not intersect.

Show that the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-4)/5 are coplanar. Also find the equation of the plane containing the lines.

Show that the lines : 3x-2y+5=0, y+3z-15=0 and (x-1)/5=(y+5)/-3=z/1 are perpendicular to each other.

Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are perpendicular to each other

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.

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

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  2. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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

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  4. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  5. Find k so that the lines : (x-3)/2=(y+1)/3=(z-2)/(2k) and (x+2)/1=(4-y...

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  6. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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  7. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

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  8. The cartesian equations of a line are 3x + 1 = 6y - 2 = 1 - z. Find th...

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  9. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  10. Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z...

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  11. Find the equation of the line perpendicular to the lines : vecr=(3hati...

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

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

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

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

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

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

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

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

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

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