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Find the equation in Cartesian form of the plane passing through the point `(3,\ -3,\ 1)` and normal to the line joining the points (3, 4, -1) and (2, -1, 5).

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Find the vector and Cartesian equations of a plane passing through the point (1, -1, 1) and normal to theline joining the point (1, 2, 5) and (-1, 3, 1) .

If a plane passes through the point (-3,- 3,1) and is normal to the line joining the points (2, 6, 1) and (1, 3, 0), find its equation.

Find the equation of the plane passing through the point (2, -3, 1) and perpendicular to the line joining points (4, 5, 0) and (1, -2, 4).

Find the equation of the plane passing through the point (2, ̶ 3, 1) and perpendicular to the line joining the points ( 4, 5, 0) and ( 1, ̶ 2, 4).

Find the equation of the plane passing through the point A(1,\ 2,\ 1) and perpendicular to the line in joining the points P(1,\ 4,\ 2)a n d\ Q(2,\ 3,5)dot

find the equation of the plane passing through the point (3,3,1) and perpendicular to the line joining (3,4,-1) and (2,-1,5).

Find the equation of the plane passing through the point (1,-2,1) and perpendicular to the line joining the point A(3,2,1) and B(1,4,2).

Find the equation of a line passing through the point (-1,-2) and parallel to the line joining the points (2,-3) and (3,-2)

Find the equation of the line passing through the point (-4, -5) and perpendicular to the line joining the points (1, 2) and (5, 6).

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Reduce the equations of the following planes in intercept form and fin...

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  2. Find the equation of the plane passing through the point (2, 4, 6) and...

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  3. Find the equation in Cartesian form of the plane passing through the ...

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  4. Find the vector equation of the plane whose Cartesian form of equals 3...

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  5. Find a normal vector to the plane 2x-y+2z=5. Also, find a unit vector ...

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  6. Find the angle between the normal to the planes 2x-y+z=6\ a n d\ x+y+2...

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  7. Find the angles at which the normal vector to the plane 4x+8y+z=5 is i...

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  8. Find the vector equation of a plane passing through a point having ...

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  9. Find the Cartesian form of equation of a plane whose vector equation i...

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  10. Find the Cartesian form of equation of a plane whose vector equation i...

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  11. Find the vector equations of the coordinates planes.

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  12. Find the vector equation of each one of following plane: 2x-y+2z=8

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  13. Find the vector equation of each one of following plane: x+y-z=5

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  14. Find the vector equation of each one of following plane: x+y=3

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  15. Find the vector and Cartesian equations of a plane passing through the...

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  16. If vec n is a vector of magnitude sqrt(3) and is equally inclined wit...

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  17. The coordinate of the foot of the perpendicular drawn from  the origin...

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  18. Find the equation of the plane passing through the point (2,3,1) ha...

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  19. If the axes are rectangular and P is the point (2, 3, -1), find the eq...

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  20. Find the intercepts made on the coordinate axes by the plane 2x+y-2z=3...

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