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 ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

The sine of angle formed by the lateral face ADC and plane of the base ABC of the terahedron ABCD, where A=(3,-2,1), B=(3, 1,5), C=(4,0,3) and D=(1,0,0) , is :

The sine of angle formed by the lateral face ADC and plane of the base ABC of the terahedron ABCD, where A=(3,-2,1), B=(3, 1,5), C=(4,0,3) and D=(1,0,0) , is :

Prove that the tetrahedron with vertices at the points O(0,0,0),\ A(0,1,1), B(1,0,1)a n d\ C(1,1,0) is a regular one.

If the circumcentre of triangle ABC is (alpha,beta,gamma) where A, B, C are ((1, 0, 0) (0, 1, 0) and (0,0,1) respectively then alpha+beta+gamma+=1 (b) alpha=beta gamma=1/3 (d) alpha=1

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. 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 given truth table relates Y to A and B. {:("A","B","Y"),(0,0,1),(0,1,0),(1,0,0),(1,1,0):} Then, Y is given by

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. The equation of the plane ABC 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.

ARIHANT MATHS ENGLISH-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. about to only mathematics

    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) and C(-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. Find the angle between the lines whose direction cosine are given by...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

    Text Solution

    |

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

    Text Solution

    |

  17. A plane makes intercepts OA, OB and OC whose measurements are b and c ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

    Text Solution

    |