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Find the coordinates of the foot of the perpendicular drawn from the point `(5,\ 4,2)` to the line `(x+1)/2=(y-3)/3=(z-1)/(-1)` . Hence or otherwise deduce the length of the perpendicular.

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  2. Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

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  3. Find the coordinates of the foot of the perpendicular drawn from the ...

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  4. Find the coordinates of the foot of the perpendicular from the point ...

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  5. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  6. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  7. Find the co-ordinates of the foot of perpendicular and the length of p...

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  8. Find the distance of the point with position vector -hat i-5 hat j-10...

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  9. Find the length and the foot of the perpendicular from the point (1, 1...

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  10. Find the coordinates of the foot of the perpendicular and the perpe...

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  11. Find the direction cosines of the unit vector perpendicular to the pla...

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  12. Find the coordinates of the foot of the perpendicular drawn from the ...

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  13. Write the equation of the plane parallel to XOY-plane and passing t...

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  14. Write the equation of the plane parallel to YOZ-plane and passing t...

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  15. Write the equation of the plane passing through points (a ,\ 0,\ 0),\ ...

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  16. Write the general equation of a plane parallel to X-axis.

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  17. Write the intercepts made by the plane 2x-3y+4z=12 on the coordinate a...

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  18. Write the ratio in which the plane 4x+5y-3z=4 divides the line segment...

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  19. Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

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  20. Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ ...

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