Find the ratio in which the line segment having the end points A(-1, -3, 4) and B(4, 2, -1) is divided by the xz-plane. Also, find the coordinates of the point of division.
Let the plane XZ divides the points A(-1, -3, 4) and B(4, 2, -1) in ratio k:1.
Hence, using section formula (
, we get
On XZ plane, Y co- ordinate of every point be zero, therefore
2k – 3 = 0
The ratio is 3:2 in XZ plane which divides the line joined from points A and B.
1