Home
Class 12
MATHS
Find the value of p, if the planes barr ...

Find the value of p, if the planes `barr *(phati - hatj + 2hatk) + 3 = 0` and
`barr*(2hati - phatj - hatk) -5 = 0` include an angle of `(pi)/(3)`.

Text Solution

Verified by Experts

p = 3
Promotional Banner

Topper's Solved these Questions

  • PLANE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • PLANE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • PAIR OF STRAIGHT LINES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

The angle between the planes barr*(hati - 2hatj + 3hatk) + 4 = 0 and barr *(2hati + hatj - 3hatk) = 0 is

Find the acute angle between the planes barr*(2hati + hatj - hatk) = 3 and barr*(hati + 2hatj + hatk) =1 .

IF planes bar r . ( p hati - hatj + 2 hatk )+3=0 and bar r .( 2 hati - p hatj - hatk )-5=0 include angle (pi)/(3) then the value of p is

If the angle between the planes bar r .(m hati -hatj+2hatk)+3=0 and bar r.(2hati -m hatj - hatk )-5=0 is (pi)/(3) , then m=

The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj + 4hatk) = 2 are perpendicular to each other. Find the value of p.

If the angle between the planes bar( r ).(m hati-hatj+2hatk)+3=0" and "bar( r ).(2hati-m hatj-hatk)-5=0 is (pi)/(3) , then m =

Find the value of 'lambda' if the planes vecr. (hati +2hatj+3hatk)+3=0 and vecr. (lambdahati+2hatj+7hatk) = 10 are perpendicular.

Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(hati +hatj + hatk) and the plane barr*(2hati - hatj + hatk) = 5 .

Find the angle between the planes whose vector equations are barr *(2hati + 2hatj - 3hatk) = 5 and barr *(hati -2hatj+hatk) =7 .

Find the distance of the point hati + 2hatj - hatk from the plane barr*(hati - 2hatj + 4hatk) = 10 .

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane passing through the point A(1, 0...

    Text Solution

    |

  2. Find the vector equation of the plane passing through the point hati +...

    Text Solution

    |

  3. Line barr = (hati - hatj + hatk) + lambda(2hati- hatj + hatk) containe...

    Text Solution

    |

  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

    Text Solution

    |

  5. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

    Text Solution

    |

  6. Find the cartesian form of the equation of the plane. barr = (hati ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)...

    Text Solution

    |

  10. A variable plane which remains at a constant distance 3p from the orig...

    Text Solution

    |

  11. Find the angle between the planes whose vector equations are barr ...

    Text Solution

    |

  12. If the line barr = (hati - 2hatj + 3hatk) + lambda(2hati + hatj + 2hat...

    Text Solution

    |

  13. The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj ...

    Text Solution

    |

  14. Find the value of p, if the planes barr *(phati - hatj + 2hatk) + 3 = ...

    Text Solution

    |

  15. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

    Text Solution

    |

  18. Find the distance of the point (1, 2-1) from the plane x -2y + 4z - 10...

    Text Solution

    |

  19. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

    Text Solution

    |

  20. Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the p...

    Text Solution

    |