Home
Class 12
MATHS
Angle between the line vecr=(2hati-hatj+...

Angle between the line `vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk)` and the plane `vecr.(3hati+2hatj-hatk)=4` is

A

`cos^(-1)(2/(sqrt(42)))`

B

`cos^(-1)((-2)/(sqrt(42)))`

C

`sin^(-1)(2/(sqrt(42)))`

D

`sin^(-1)((-2)/(sqrt(42)))`

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Exercise|33 Videos
  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

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

The angle between the line vecr=(hati+2hatj+3hatk)=lamda(2hati+3hatj+4hatk) and the plane vecr.(hati+2hatj-2hatk)=3 is (A) 0^0 (B) 60^0 (C) 30^0 (D) 90^0

Find the angle between the line vecr=(hati+hatj-2hatk)+lambda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4 .

The distance between the line vecr=2hati-2hatj+3hatk+lamda(hati-hatj+4hatk) and the plane vecr.(hati+5hatj+hatk)=5 is

The angle between the line vecr=(hati+hatj-3hatk)+lambda(2hati+2hatj+hatk) and the plane vecr.(6hati-3hatj+2hatk)=5 , is

Find the angle between the line vecr = (2hati+hatj-hatk)+lambda(2hati+2hatj+hatk) and the plane vecr.(6hati-3hatj+2hatk)+1=0 .

The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) and the plane vecr.(hati|5hatj|hatk) = 5 is :

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4

The angle between the line barr=(hati+hatj-hatk)+lamda(hati-hatj+hatk) and the plane barr.(hati-2hatj+3hatk)=5 is

The angle between the line barr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane barr.(2hati-hatj+hatk)=5 is

OBJECTIVE RD SHARMA-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test
  1. The image (or reflection) of the point (1,2-1) in the plane vecr.(3hat...

    Text Solution

    |

  2. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  3. Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) a...

    Text Solution

    |

  4. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

    Text Solution

    |

  5. The distance from the point -hati+2hatj+6hatk to the straight line thr...

    Text Solution

    |

  6. The position vector of the point in which the line joining the points ...

    Text Solution

    |

  7. The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...

    Text Solution

    |

  8. The lies vecr=veca(1)+lamdavecb(1) and vecr-veca(2)+muvecb(2) are copl...

    Text Solution

    |

  9. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

    Text Solution

    |

  10. Equation of a line passing through (1,-2,3) and parallel to the plane ...

    Text Solution

    |

  11. The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0...

    Text Solution

    |

  12. Find shortest distance between the line vecr = (5hati + 7hatj + 3ha...

    Text Solution

    |

  13. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  14. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

    Text Solution

    |

  15. The equation of the plane containing the line vecr=hati+hatj+lamda(2...

    Text Solution

    |

  16. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  17. Equation of the plane passing through the point (1,1,1) and perpendicu...

    Text Solution

    |

  18. A variable plane at constant distance p form the origin meets the coor...

    Text Solution

    |

  19. The equation of the line of intersection of the planes x+2y+z=3 and 6x...

    Text Solution

    |

  20. Find the Cartesian from the equation of the plane vecr=(s-2t)hati+(3...

    Text Solution

    |