Home
Class 12
MATHS
The angle between the lines AB and CD, w...

The angle between the lines AB and CD, where `A(0, 0, 0), B(1, 1, 1), C(-1, -1, -1) and D(0, 1, 0)` is given by

A

`cos(theta)=(1)/(sqrt(3)`

B

`cos(theta)=(4)/(3sqrt(2))`

C

`cos(theta)=(1)/(sqrt(5))`

D

`cos(theta)=(1)/(2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by A (1, 0, 0), B(0, 1, 0), C(1, 1, 1) is

The angle between the planes passing through the points A(0,0,0),B(1,1,1),C(3,2,1)& the planes passing through

The angle between a line x=1,y=2 and y+1=0, z=0 is (A) 0^0 (B) 30^0 (C) 60^0 (D) 90^0

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. Q.The equation of the line L is

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. Q. The perpendicular distance of D from the plane ABC is

The abscissa and ordinate of the origin are (a) (0, 0) (b) (1, 0) (c) (0, 1) (d) (1, 1)

If A=[[1, 0, 0], [a, 1, 0], [b, c, 1]] , then A^(-1)=

The truth table given in fig. represent : {:(A,B,Y),(0,0,0),(0,1,1),(1,0,1),(1,1,1):}

If a != 0, b!= 0, c!= 0 , then |(1 +a,1,1),(1,1 +b,1),(1,1,1 +c)| is equal to

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  2. A variable plane at a distance of 1 unit from the origin cuts the axes...

    Text Solution

    |

  3. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

    Text Solution

    |

  4. The shortest distance of a point (1, 2, -3) from a plane making interc...

    Text Solution

    |

  5. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  6. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

    Text Solution

    |

  7. Equation of the plane through three points A, B and C with position ve...

    Text Solution

    |

  8. OABC is a tetrahedron. The position vectors of A, B and C are I, i+j a...

    Text Solution

    |

  9. The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...

    Text Solution

    |

  10. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

    Text Solution

    |

  11. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

    Text Solution

    |

  12. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

  13. The angle between the lines whose direction cosines are given by the ...

    Text Solution

    |

  14. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |

  15. The cartesian equations of the plane perpendicular to the line (x-1)/(...

    Text Solution

    |

  16. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  17. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

    Text Solution

    |

  18. The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...

    Text Solution

    |

  19. Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...

    Text Solution

    |

  20. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

    Text Solution

    |