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Find the foot of perpendicular from the ...

Find the foot of perpendicular from the point (0, 2, -2) to the plane 2x – 3y + 4z – 44 = 0. Find the equation of perpendicular line passing through this point and find the length of perpendicular.

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The correct Answer is:
(4,-4,6);`x/2=(y-2)/(-3)=(z+2)/(4);2sqrt(29)`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

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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 perpe...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the equation of perpendicular bisector of the plane of the line s...

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  20. Find the direction cosines of the two lines which are connected by the...

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