Home
Class 12
MATHS
Equations of the line which passe throug...

Equations of the line which passe through the point with position vector `(2, 1, 0)` and perpendicular to the plane containing the vectors `i+j and j+k ` is

A

`r=(2, 1, 0)+t(1, -1, 1)`

B

`r=(2, 1, 0)+t(-1, 1, 1)`

C

`r=(2, 1, 0)+t(1, 1, -1)`

D

`r=(2, 1, 0)+t(1, 1, 1)`

Text Solution

Verified by Experts

The correct Answer is:
(a)
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

Equation of the line which passes through the point with p.v.(2,1,0) and perpendicular to the plane containing the vectors hat i+hat j and hat j+hat k

Find the vector equation of a line passing through the point with position vector 2hat(i) + hat(j) - hat(k) and parallel to the line joining the points - hat(i) + hat(j) + 4 hat(k) and hat(i) + 2 hat(j) + 2 hat(k) .

Find the vector equation of a line passing through the point with position vector hat i-2hat j-3hat k and parallel to the line joining the points with position vectors hat i-hat j+4hat k and 2hat i+hat j+2hat k. Also,find the cartesian equivalent of this equation.

Find the vector equation of a line passing through a point with position vector 2hat i-hat j+hat k ,and parallel to the line joining the points -hat i+4hat j+hat k and hat i+2hat j+2hat k. Also, find the cartesian equivalent of this equation.

(i) Find the vector equation of a line passing through a point with position vector 2 hat(i) - hat(j) + hat(k) and parallel to the line joining the points with position vectors - hat(i) + 4 hat(j) + hat(k) and hat(i) + 2 hat(j) + 2 hat(k). Also, find the cartesian equivalent of the equation. (ii) Find the vector equation of a line passing through the point with position vector hat(i) - 2 hat(j) - 3 hat(k) and parallel to the line joining the points with position vectors hat(i) - hat(j) + 4 hat(k) and 2 hat(i) + hat(j) + 2 hat(k) . Also, find the cartesian form of the equation.

Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=4i+3j+k .

Find the Cartesian equation of a line which passes through the point having position vector (2hat(i) -hat(j) + 4hat(k)) and is in the direction of the vector , (hat(i) +2hat(j) -hat(k))

Find the vector equation of a line which passes through the point with position vector 2hat i=hat j+4hat k and is in the direction of hat i+hat j-2hat k .Also,reduce it to Cartesian form.

Find the vector equation of a line passing through the point having the position vector (hat(i)+2hat(j) -3hat(k)) and parallel to the line joining the points with position vectors (hat(i) -hat(j) +5hat(k)) and (2hat(i) +3hat(j) -4hat(k)) .Also find the Cartesian equivalents of this equations.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. A variable plane forms a tetrahedron of constant volume 64k^3 with the...

    Text Solution

    |

  2. Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutual...

    Text Solution

    |

  3. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  4. Which of the following planes are parallel but not identical? P1: 4x...

    Text Solution

    |

  5. A parallelopied is formed by planes drawn through the points (1, 2, 3)...

    Text Solution

    |

  6. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

    Text Solution

    |

  7. The vector equations of two lines L1 and L2 are respectively, L1:r=2i+...

    Text Solution

    |

  8. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

    Text Solution

    |

  9. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

    Text Solution

    |

  10. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

    Text Solution

    |

  11. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

    Text Solution

    |

  12. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  13. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

    Text Solution

    |

  14. The line which contains all points (x, y, z) which are of the form (x,...

    Text Solution

    |

  15. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

    Text Solution

    |

  16. The equation of the plane which passes through the line of intersectio...

    Text Solution

    |

  17. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

    Text Solution

    |

  18. The distance of the point (-1, -5, -10) from the point of intersection...

    Text Solution

    |

  19. P(vec p) and Q(vec q) are the position vectors of two fixed points and...

    Text Solution

    |

  20. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |