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

Similar Questions

Explore conceptually related problems

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Equation of the plane ABC is

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

The points A(-2,1) , B ( 0,5) , C ( -1 , 2) are collinear.

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is

Find perpendicular distance from point (3,-1) to the line 12 x -5y-7=0 .

The perpendicular distance of the plane y-2x + 5 = z from the point (0,0,0) is .....

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

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(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane. The unit vector perpendicular to the plane ABC is …………..