Find the coordina

Given: points are A(3, 4, 1) and B(5, 1, 6)

To find: the coordinates of the point where the line passing through the given points crosses the XZ plane and angle which it make with the plane

Formula used:

Here A = (3, 4, 1)

and B = (5, 1, 6)

On comparing,

x = 3 + 2λ, 0 = 4 – 3λ, z = 1 + 5λ

0 = 4 – 3λ

x = 3 + 2λ

z = 1 + 5λ

Hence, the coordinates of the point where the line passing through the given points crosses the XZ plane is,

Formula used:

Here,

Therefore,

Hence, angle between the line and XZ plane is,