Home
Class 12
MATHS
The unit normal vector to the plane 2x -...

The unit normal vector to the plane 2x - y + 2z = 5 are …………..

Text Solution

Verified by Experts

The correct Answer is:
` pm(2veci-vecj+2veck)/(3) `
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

The unit normal vector to the plane 2x + 3y + 4z =5 is ………….

Find the unit normal vectors to the plane 2x+y-2z=5 .

Find the normal vector to the plane 4x + 2y + 3z – 6 =0

The angle between a normal to the plane 2x-y+2z-1=0 and the z-axis is

Find the equation of the plane through the intersection of the planes 2x - 3y + z - = 0 and x - y + z + 1 = 0 and perpendicular to the plane x + 2y - 3z + 6 = 0.

Find the direction cosines of the normal to the plane 12x + 3y - 4z = 65. Also, find the non-parametric form of vector equation of a plane and the length of the perpendicular to the plane from the origin.

Find the equation of the plane containing the line of intersection of the planes x + y + z - 6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1,1,1)

Equation to the two planes are 2x+y-2z=5 and 3x-6y-2z=7 i.Find the normal vectors to these planes ii. Find the angle between these two planes.

Find the intercepts cut off by the plane 2x+y-z=5.

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. find the shortest distance between the skew lines. vecr=(2veci-vecj-...

    Text Solution

    |

  2. Find the vector and cartesian equations of a plane which is at a dista...

    Text Solution

    |

  3. The unit normal vector to the plane 2x - y + 2z = 5 are …………..

    Text Solution

    |

  4. Find the length of the perpendicular from the origin to the plane ve...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the origin to a plane is 18 ,...

    Text Solution

    |

  6. Find the Cartesian equation of the plane through the point with positi...

    Text Solution

    |

  7. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  8. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |

  9. Find the vector and cartesian equation of the plane passing through th...

    Text Solution

    |

  10. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  11. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  12. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |