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 ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos
  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|19 Videos
  • TRIGONOMETRIC EQUATIONS

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

Similar Questions

Explore conceptually related problems

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. Reflection of A(veca) in the plane pi has the position vector :

If b be the foot of perpendicular from A to the plane rcdothat(n)=d , then b must be

Find the distance a from orign of the foot of perpendicular of point (a,b,c) on xy-plane.

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

Let A be the foot of the perpendicular from the origin to the plane x-2y+2z+6=0 and B(0, -1, -4) be a point on the plane. Then, the length of AB is

The equation of the plane containing the line vecr= veca + k vecb and perpendicular to the plane vecr . vecn =q is :

Find the length and the foot of the perpendicular from the point (7,\ 14 ,\ 5) to the plane 2x+4y-z=2. Also, the find image of the point P in the plane.

The length of the perpendicular from the origin to the plane passing though three non-collinear points veca,vecb,vecc is

Length of the perpendicular from origin to the plane passing through the three non-collinear points veca, vecb, vecc is