Home
Class 12
MATHS
Find the vector equations of the plane p...

Find the vector equations of the plane passing through the points R(2, 5, -3), S(-2,-3, 5) and T(5, 3, -3).

Text Solution

Verified by Experts

The correct Answer is:
`[vecr-(2hati+5hatj-3hatk)].[(-4hati-8hat+8hatk)xx(3hati-2hatj)]=0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the points (1, -2, 5) (0, -5, -1) and (-3, 5, 0). Transform the vector equation into cartesian equation.

Find the vector equation for the line passing through the points (-1, 0, 2) and (3, 4, 6).

Find equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2) and R(-3, 5, -4) .

Find the equation of the plane through the points (2, 1, 0), (3, -2, -2) and (3, 1, 7).

Find the equations of the planes that passes through three points. (a) (1, 1, -1), (6, 4, -5), (-4, -2, 3) (b) (1, 1, 0), (1, 2, 1), (-2, 2, -1)

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

Find the direction cosines of the line passing through the two points (-2, 4, -5) and (1, 2, 3).

Find the vector and the cartesian equations of the line that passes through the points (3, - 2, – 5), (3, -2, 6).

Find the vector and cartesian equations of the plane which passes through the point (5, 2, - 4) and perpendicular to the line with direction ratios 2, 3, -1.

Find the vector equation of the line passing through the point (1, 2, -4) and perpendicular to the two lines : (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5) .

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK
  1. Find the shortest distance between the lines l1 and l2 whose vector eq...

    Text Solution

    |

  2. Find the distance between the lines l1 and l2 given by vecr=hati+2hatj...

    Text Solution

    |

  3. Find the vector equation of the plane which is at a distance of (6)/(s...

    Text Solution

    |

  4. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  5. Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |

  6. Find the coordinates of the foot of the perpendicular drawn from the o...

    Text Solution

    |

  7. Find the vector and cartesian equations of the plane which passes thro...

    Text Solution

    |

  8. Find the vector equations of the plane passing through the points R(2,...

    Text Solution

    |

  9. Find the equation of the plane with intercepts 2, 3 and 4 on the x, y ...

    Text Solution

    |

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

    Text Solution

    |

  11. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)=(y-2...

    Text Solution

    |

  12. Find the angle between the two planes 2x + y - 2z = 5 and 3x – 6y – 2z...

    Text Solution

    |

  13. Find the angle between the two planes 3x – 6y + 2z = 7 and 2x + 2y – 2...

    Text Solution

    |

  14. Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3ha...

    Text Solution

    |

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

    Text Solution

    |

  16. A line makes the angle alpha, beta , gamma and delta with the diagonal...

    Text Solution

    |

  17. Find the equation of the plane that contains the point (1,-1, 2) and i...

    Text Solution

    |

  18. Find the distance between the point P (6,5, 9) and the plane determine...

    Text Solution

    |

  19. Show that the lines (x-a+d)/(alpha- delta)=(y-a)/(alpha)=(z-a-d)/(alph...

    Text Solution

    |

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

    Text Solution

    |