Home
Class 12
MATHS
Consider a plane pi:vecr*vecn=d (where v...

Consider a plane `pi:vecr*vecn=d` (where `vecn` is not a unti vector). There are two points `A(veca)` and `B(vecb)` lying on the same side of the plane.
Q. If foot of perpendicular from A and B to the plane `pi` are P and Q respectively, then length of PQ be :

A

`(|(veca-vecb)*vecn|)/(|vecn|)`

B

`|(veca-vecb)*vecn|`

C

`|(veca-vecb)xxvecn|`

D

`(|(veca-vecb)xxvecn|)/(|vecn|)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|3 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|16 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|21 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If vec b be the foot of the perpendicular from A to the plane vec r*widehat n=d then vec b must be -

If the foot of perpendicular from the point (1,-5,-10) to the plane x-y+z=5 is (a,b,c) then a+b+c=

let Q be the foot of perpendicular from the origin to the plane 4x-3y+z+13=0 and R be a point (-1,1,-6) on the plane then length QR is

If L is the foot of the perpendicular from Q(-3, 6, 7) on the XY-plane, Then the coordinates of the point L is

Find the length of the foot of the perpendicular from the point (1,1,2) to the plane vecr.(2hati-2hatj+4hatk)+5=0

Two vectors vec(A)andvec(B) are acting in the same plane and the vector vec( C ) is perpendicular to the plane. The resultant of these vectors.

If r.n=q is the equation of a plane normal to the vector n, the length of the perpendicular from the origin on the plane is

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-3 : Comprehension Type Problems
  1. The vertices of DeltaABC are (2, 0, 0), B(0, 1, 0), C(0, 0, 2). Its o...

    Text Solution

    |

  2. The vertices of DeltaABC are (2, 0, 0), B(0, 1, 0), C(0, 0, 2). Its o...

    Text Solution

    |

  3. The vertices of DeltaABC are (2, 0, 0), B(0, 1, 0), C(0, 0, 2). Its o...

    Text Solution

    |

  4. Consider a plane pi:vecr*vecn=d (where vecn is not a unti vector). The...

    Text Solution

    |

  5. Consider a plane pi:vecr*vecn=d (where vecn is not a unti vector). The...

    Text Solution

    |

  6. Consider a plane pi:vecr*vecn=d (where vecn is not a unti vector). The...

    Text Solution

    |

  7. Consider a plane prod:vecr*(2hati+hatj-hatk)=5, a line L(1): vecr=(3ha...

    Text Solution

    |

  8. Consider a plane prod:vecr*(2hati+hatj-hatk)=5, a line L(1): vecr=(3ha...

    Text Solution

    |

  9. Consider a plane prod:vecr*(2hati+hatj-hatk)=5, a line L(1): vecr=(3ha...

    Text Solution

    |

  10. Consider three planes : 2x+py+6z=8, x+2y+qz=5 and x+y+3z=4 Q. Th...

    Text Solution

    |

  11. Consider three planes : 2x+py+6z=8, x+2y+qz=5 and x+y+3z=4 Q. T...

    Text Solution

    |

  12. The points A, B and C with position vectors veca, vecb and vec c respe...

    Text Solution

    |

  13. The points A, B and C with position vectors veca, vecb and vec c respe...

    Text Solution

    |

  14. The points A, B and C with position vectors veca, vecb and vec c respe...

    Text Solution

    |

  15. Consider a tetrahedron D-ABC with position vectors if its angular poi...

    Text Solution

    |

  16. Consider a tetrahedron D-ABC with position vectors if its angular poi...

    Text Solution

    |

  17. In a triangle AOB, R and Q are the points on the side OB and AB respe...

    Text Solution

    |

  18. In a triangle AOB, R and Q are the points on the side OB and AB respe...

    Text Solution

    |