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What is the point of intersection of the line `x=y=z` with the plane `x+2y+3z=6`?

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Find the distance of the point (- 1, - 5, - 10) from the point of intersection of the line x-2/3=y+1/4=z-2/12 and the plane x-y+z=5

find the distance of the point (-1, -6, -9) from the point of Intersection of the line (x-2)/3=(y+2)/4=(z+2)/12 and the plane x - y + z = 5

Find the distance of the point (-3 -4, -5) from the point of Intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane x - y + z=5.

The distance of the point (1,0,2) from the poitn of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane x-y+z=16 is :

Find the distance of the point (-1, -5, -10) from the point of intersection of the (x-2)/3=(y+1)/4=(z-2)/12 and the plane x-y + z= 5.

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4, 2x + y - z = - 5 which is perpendicular to the plane given by the equation 5x + 3y + 6z·= - 8 .

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4 and 2x + y - z = -5 which is perpendicular to the plane given by the equation 5x + 3y + 6z = -8.

The disatance of the point (1, 0, 2) from the point of intersection of the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) and the plane x-y+z=16 , is

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. ਪIn the following case, determine whether the given planes are paralle...

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  2. In the following case, determine whether the given planes are parallel...

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  3. What is the point of intersection of the line x=y=z with the plane x+2...

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  4. Find the angle between the lines in which the planes: 3x-7y-5z=1, 5x-1...

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  5. Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) li...

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

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  7. Find the vector equation of the line passing through the point (3,1,2)...

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  8. Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane ...

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  9. Find the angle between the line : (2hati+3hatj+4hatk)+lambda(2hati+3ha...

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  10. Find the angle between the line joing (3,-4,-2) and(12, 2, 0) and the ...

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  11. Find the angle between the line : (x+1)/2=y/3=(z-3)/6 and the plane 10...

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  12. Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane ...

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  13. Find the distance of the point (-1, -5, -10) from the point of interse...

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  14. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  15. Find the distance of the point with position vector -hati-5hatj-10hatk...

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  16. Find the distance of the point (2,12,5) from the point of intersection...

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  17. Find the distance between the point with position vector -hat(i)-5hat(...

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  18. Find the vector equation of the line passing through (1, 2, 3) and par...

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  19. Find the vector equation of the line passing through (1, 2, 3) and per...

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  20. Find the equation of the plane which is parallel to the line (x-4)/1=(...

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