Home
Class 12
MATHS
Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the point `(3hati+4hatj+2hatk)` and parallel to the vectors `(hati+2hatj+3hatk)` and `(hati-hatj+hatk)`.

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28I|9 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28J|26 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane through the point (3hati+4hatj-hatk) and parallel to the plane vecr(2hati-3hatj+5hatk)+5=0 .

The vector equation of a line passing through the point hati + 2hatj + 3hatk and perpendicular to the vectors hati +hatj + hatk and 2hati - hatj + hatk is

Find the vector equation of the line passing through the point 2 hati + hatj - 3 hatk and perpendicular to the vectors hati + hatj + hatk and hati + 2 hatj - hatk .

Find the vector equation of a line passes through the point hati+3hatj+hatk and parallel to vector 3hati-2hatj+k .

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

Find the vector and Cartesian equations of the plane passing through the origin and parallel to the vectors (hati+hatj-hatk) and (3hati-hatk) .

The vector equation of the plance passing through the point (-1 ,2 , -5) and parallel to vectors 4hati-hatj+3hatkand hati+hatj-hatk is

RS AGGARWAL-THE PLANE-Exercise 28G
  1. Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (h...

    Text Solution

    |

  2. Find the angle between the line vecr=(2hati-hatj+3hatk)+lambda(3hati-h...

    Text Solution

    |

  3. Find the angle between the line vecr.(3hati+hatk)+lambda(hatj+hatk) an...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

    Text Solution

    |

  6. Find the anlge between the line joining the points A(3,-4,-2) and B(12...

    Text Solution

    |

  7. If the plane 2x-3y-6z=13 makes an angle sin^(-1) with the x-axis, then...

    Text Solution

    |

  8. Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is...

    Text Solution

    |

  9. Find the value of m for which the line vecr.=(hati+2hatk)+lambda(2hati...

    Text Solution

    |

  10. Find the vector equation of a lie passing through the origin perpendic...

    Text Solution

    |

  11. Find the vector equation of the line passing through the point with po...

    Text Solution

    |

  12. Show that the equation ax+by+d=0 represents a plane parallel to the z-...

    Text Solution

    |

  13. Find the equation of the plane passing through the points (1,2,3) and ...

    Text Solution

    |

  14. Find the equation of a plane passing through the point (2,-1,5), perpe...

    Text Solution

    |

  15. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  16. Find the vector and Cartesian equations of the plane passing through t...

    Text Solution

    |

  17. Find the vector and Cartesian quations of the plane passing through th...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the Cartesian and vector eqauations of a plane passing through th...

    Text Solution

    |

  20. Find the vector equation of the plane passing through the point (3hati...

    Text Solution

    |