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Find the equation of a plane which passe...

Find the equation of a plane which passes through the point `(1, 2, 3)` and which is equally inclined to the planes `x-2y+2z-3=0 and 8x-4y+z-7=0`.

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Find the equation of the plane which passes through the point (2,1,4) and is prependicular to each of the planes 9x-7y+6z+48=0 and x+y-z=0

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Find the equation of the plane which pasees through the point (-2,1,3) and also through the intersection of the planes 2x-7y+4z=0 and 3x-5y+4z+11=0 .

Prove that the equation of the plane which passes through the point (-1,3,2) and is prependicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is 2x-4y+3z+8=0 .

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the plane through the points (2, 3, 1) and (4, -5...

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  2. Find the equation of the image of the plane x-2y+2z-3=0 in plane x+...

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  3. Find the equation of a plane which passes through the point (1, 2, 3) ...

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  4. Find the equation of a plane which is parallel to the plane x-2y+2z=5 ...

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  5. Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-...

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  6. Find the equation of the plane which passes through the point (1,2,...

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  7. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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  8. Find the equation of the plane passing through the line (x-1)/(5)=(y+2...

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  9. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  10. Find the equation of the plane passing through the straight line (x...

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  11. Find the equation of the line drawn through the point (1, 0,2) to meet...

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  12. If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj...

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  13. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

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  14. Line L1 is parallel to vector vecalpha=-3 hat i+2 hat j+4 hat k and p...

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  15. Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)...

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  16. Find the angel between the following pair of lines: vec r=2 hat i...

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  17. Find the condition if lines x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime...

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  18. Find the acute angle between the lines (x-1)/l=(y+1)/m=1/na n d=(x+...

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  19. Find the length of the perpendicular drawn from point (2,3,4) to li...

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  20. Find the coordinates of the foot of the perpendicular drawn from po...

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