Home
Class 12
MATHS
Given four points A(2, 1, 0), B(1, 0, 1)...

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

A

`r=2hat(k)+lambda(hat(i)+hat(k))`

B

`r=2hat(k)+lambda(2hat(j)+hat(k))`

C

`r=2hat(k)+lambda(hat(j)+hat(k))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 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

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. Q. The perpendicular distance of D from the plane ABC is

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

Show that the four points S(0,-1,0), B(2,1,01), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

If points A (2, 4, 0), B(3, 1, 8), C(3, 1, -3), D(7, -3, 4) are four points then projection of line segment AB on line CD.

Four distinct points (a, 0), (0, b), (c , 0) and (0, d) are lie on a plane in such a way that ac = bd, they will

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Find a unit vector perpendicular to the plane determined by the points (1,-1,2),(2,0,-1)a n d(0,2,1)dot

If the points A(1,2) , B(0,0) and C (a,b) are collinear , then

If A,B,C are points (1,0,-1), (0,1,-1) and (-1,0,1) respectively find the sine of the angle between the lines AB and AC.

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  2. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  3. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  4. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

    Text Solution

    |

  5. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

    Text Solution

    |

  6. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |

  7. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

    Text Solution

    |

  8. Expand |(3, 6), (5,0)|

    Text Solution

    |

  9. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

    Text Solution

    |

  10. What is vector equation of the line

    Text Solution

    |

  11. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  12. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  13. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  14. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  15. let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find project...

    Text Solution

    |

  16. The line of greatest slope on an inclined plane P1 is that line in the...

    Text Solution

    |

  17. The line of greatest slope on an inclined plane P1 is that line in the...

    Text Solution

    |

  18. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). P...

    Text Solution

    |

  19. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). P...

    Text Solution

    |

  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |