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Find the equation of the plane passing through the line of intersection of the planes `vecr cdot (hati+hatj+hatk) = 1` and `vecr cdot(2hati+3hatj-hatk)+4 = 0` and parallel to x-axis.

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C
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Find the vector equation of the plane passing through the intersection of the planes vecr cdot (hati+hatj+hatk) = 6 and vecr cdot(2hati + 3hatj+4hatk) = -5 , and the point (1, 1, 1).

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr cdot(hati + hatj + hatk) = 2

Find the equation of the plane which contains the line of intersection of the planes vecr cdot(hati+2hatj+3hatk) - 4 = 0 and vecr cdot (2hati + hatj - hatk) +5 = 0 and which is perpendicular to the plane vecr cdot (5hati+3hatj-6hatk) +8 =0

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (2hati+2hatj-3hatk) = 7, vecr cdot(2hati + 5hatj + 3hatk) = 9 and through the point (2, 1, 3)

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk) =6 and vecr.(2hati+3hatj+4hatk)=-5 and point (1,1,1)

Find the equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

Find the equation of the plane which contain the line of intersection of the plane vecr.(hati+2hatj+3hatk)-4=0 and vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0 .

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr cdot(hati+2hatj-5hatk) + 9 = 0

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the direction ratios of the normal to the plane, which passes thr...

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  2. Find the vector equation of the plane passing through the intersection...

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

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

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  5. Find the equation of the plane which contains the line of intersection...

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  6. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  7. Find the equation of the plane passing through the points (3, 4, 1), (...

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  8. Find the equations of the perpendicular from the point (3, -1, 11) to...

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  9. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  10. Find the distance between the point (7,2,4) and the plane determined b...

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  11. Find the distance between the point P(6,5,9) and the plane determined ...

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  12. Find the cartesian and vector equations of the planes passing through ...

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  13. Find the co-ordinates of the points where the line through the points ...

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  14. Find the coordinates of the point where the line through the points A ...

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  15. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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

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  17. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  18. Find cartesian equations of the plane containing the lines: vecr=2hat...

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  19. Find the equation of the plane containingg the lines: vecr=hati+hatj+l...

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  20. Find the value of k for which the following lines are perpendicular to...

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