Home
Class 12
MATHS
Derive the equation of the plane in the ...

Derive the equation of the plane in the intercept form.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.10(M.C.Q)|25 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

If the Cartesian equation of a plane is 3x - 4y + 32 -8, find the vector equation of the plane in the standard form.

Is it possible to express, the equation of a straight line in slope-intercept form, when it is parallel to Y axis ?

If the cartesian equation of the plane 2x-y+2z=3 find the vector equation of the plane in standard form.

Convert the equation of the line 2x – 3y +6=0 into intercept form.

The foot of the perpendicular drawn from origin to a plane is (4,-2,5). i.How far is the plane from the origin ? ii.Find a unit vector perpendicular to that plane. iii. Obtain the equation of the plane is general form.

The equation of a plane with intercepts 2,3,and 4 on the x,y and z axes respectively is

Find the parametric form of vector equation of the plane passing through the point (1,-1,2) having 2,3,3 as direction ratio of normal to the plane.

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

  2. Find the vector and cartesian equations of the plane containing the li...

    Text Solution

    |

  3. Derive the equation of the plane in the intercept form.

    Text Solution

    |

  4. Find the Cartesian form of the equation of the plane vec(r)=(s-2t)hat(...

    Text Solution

    |

  5. Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...

    Text Solution

    |

  6. If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1...

    Text Solution

    |

  7. If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the point of intersection of the line passing through the two poi...

    Text Solution

    |

  10. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  11. Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-...

    Text Solution

    |

  12. Find the meeting point of the line vecr=(2veci+vecj-3veck)+t(2veci-v...

    Text Solution

    |

  13. Show that the following planes are at right angles: vecr.(2veci+vec...

    Text Solution

    |

  14. The planes vecr.(2vec+lambdavecj-3veck)=10 and vecr.(lambdavec+3ve...

    Text Solution

    |

  15. Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and th...

    Text Solution

    |

  16. Find the angle between the line vecr=veci+vecj+3veck+lambda(2veci+ve...

    Text Solution

    |

  17. If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-v...

    Text Solution

    |

  18. If veca=hati-hatk,vecb=xhati+hatj+(1-x)hatk,vecc=yhati+xhatj+(1+x-y)h...

    Text Solution

    |

  19. If veca , vecb , vecc are three non-coplanar vector and vecp...

    Text Solution

    |

  20. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

    Text Solution

    |