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Find the angle between the lines (5-x)/(...

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

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The correct Answer is:
`cos^(-1)((11)/(14))`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Show that the line passing through the points (4, 7, 8) and (2, 3, 4) ...

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  2. Show that the line passing through (1, -1, 2) and (3, 4, -2) is perpen...

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

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

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  5. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

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  6. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  7. Find the coordinates of the foot of perpendicular drawn from the point...

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  8. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  9. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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  10. Find the equation of the plane passing through the points (1, 2, 3) an...

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  11. Find the equation of the plane passing through the line of intersectio...

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  12. Find the equation of the plane passing through the point (3, 4, -1) an...

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  13. Find the equation of the plane passing through the line of intersectio...

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  14. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  15. Find the vector equation of the plane containing the lines vecr=(hati+...

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  16. Find the equation of the plane containing two parallel lines (x-4)/(1)...

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  17. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

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  18. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

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  19. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

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  20. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

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