Home
Class 12
MATHS
The plane contains the vectors 2 hat i +...

The plane contains the vectors `2 hat i + 3 hat j - hat k` and `hat i + hat j + 2hat k`. The acute angle made by this plane with the vector `2 hat i + 3 hat j - hat k ` is ..........

A

`cos^(-1) ""((1)/(sqrt(3)))`

B

`sin^(-1)""((1)/(sqrt2))`

C

`tan^(-1) "" ((1)/(sqrt(2)))`

D

`cot^(-1)(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

One plane is parallel to the vectors hat i + hat j + hat k and 2 hat i Other plane is parallel to the vectros hat i + hat j and hat i - hat k . The angle between the line of intersection of both the planes and the vector 2 hat i - hat j is ................

The angle between the line bar r = (2 hat i - hat j + hat k) + lambda( - hat i + hat j + hat k) and the plane bar. (3 hat i + 2 hat j - hat k) = 4 is...............

The distance between the line bar r = 2 hat i - 2 hat j + 3 hat k + lambda(hat i - hat j + 4 hat k) and the plane bar r. (hat i + 5 hat j + hat k) = 5 is..........

The vector equation of the plane containing the line vec r (-2 hat i - 3 hat + 4 hatk) + lambda (3 hat i - 2 hat j - hat k) and the point hat i + 2 hatj + 3 hat k is ..........

The position vectors of the points A and B are respectively hat i - hat j + 3 hat k and 3 hat i + 3 hat j + 3 hat k . The equation of the plane bar r. (5 hat i + 2 hat j - 7 hat k ) + 9 =0 Then points A and B.

The equation of the plane passing through (4,5,-1) and with normal 3 hat i - hat j + hat k is ...........

Find the angle between the line vec r= hat i+2 hat j- hat k+lambda( hat i- hat j+ hat k) and the plane vec r .(2 hat i- hat j+ hat k)=4.

The equation of the plane passing through the point hat i + 2 hat j + - hat k and perpendicular to the intersection line of the planes bar r . ( 3 hat i - hat j + hat k) = 1 and bar (hat i + 4 hat j - 2 hat ) = 2 is.............

A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k) then the plane containing them is

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Find the distance of the point (-1, -5, -10) from the point of interse...

    Text Solution

    |

  2. The distance of the point (1,-2,3) from the plane x-y+z = 5, measured ...

    Text Solution

    |

  3. The plane contains the vectors 2 hat i + 3 hat j - hat k and hat i + h...

    Text Solution

    |

  4. A plane meets the axes in the points, A, B and C. If the centroid of D...

    Text Solution

    |

  5. Out of the following planes , which plane is passing through theline o...

    Text Solution

    |

  6. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

    Text Solution

    |

  7. The equation of the plane passing through origin and the line of inter...

    Text Solution

    |

  8. The equation of the plane containing the lines vec r = vec (a1) + lamb...

    Text Solution

    |

  9. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

    Text Solution

    |

  10. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

    Text Solution

    |

  11. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

    Text Solution

    |

  12. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

    Text Solution

    |

  13. The equation of the plane passing through the line of intersection of ...

    Text Solution

    |

  14. The vector equation of the plane containing the line vec r (-2 hat i -...

    Text Solution

    |

  15. The plane passing through the intersection of the planes x+y +z =1 and...

    Text Solution

    |

  16. The equation of line passing through the point (-4,3,1) parallel to th...

    Text Solution

    |

  17. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

    Text Solution

    |

  18. If the lines x = ay + b ,z = cy + d and x= a'z + b',y = c'z + d'' are ...

    Text Solution

    |

  19. The plane parallel to the lines (x+2)/(3) = (y-2)/(-1) = (z+1)/(2) an...

    Text Solution

    |

  20. A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + ...

    Text Solution

    |