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Find the equation of the plane passing t...

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

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A, B, C
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Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6.

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

Find the vector equation of the line passing through (1, 2, 3) and parallel to each of the planes vecr = (hati-hatj+2 hatk)= 5" and "vecr *(3hati- hatj+hatk)= 6 . Also find the point of intersection of the line thus obtained with the plane vecr * (2hati-hatj+hatk)= 4 .

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.

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 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)

Write the vector equations of the plane throught the point (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the vector and Cartesian form of the equation of the plane passing through the point (1, 2, -4) and parallel to the lines vecr=hati+2hatj-4hatk+lamda(2hati+3hatj+6hatk) and vecr=hati-3hatj+5hatk+mu(hati+hatj-hatk) .

Find the equation of the line passing through the point (2, -1, 3) and perpendicular to the lines : vecr=(hati-hatj+hatk)+lambda(2hati+hatj-3hatk) and vecr=(hati+hatj-hatk)+mu(hati+hatj+hatk)

Find the equation of the line passing through the point (1,-2,3) and perpendicular to the lines : vecr=(hati-2hatj+hatk)+lambda(hati+hatj+hatk) and vecr=(hati-hatj+2hatk)+mu(3hati-2hatj-5hatk)

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of the plane passing through the point (3,-3, 1) and...

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  2. Find the co-ordinates of the foot of the perpendicular distance of the...

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  3. Find the equation of the plane passing through (a, b, c) and parallel ...

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  4. A plane meets the coordinates axes in A, B and C such that the centroi...

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  5. Find the direction ratios of the normal to the plane, which passes thr...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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