The point of intersection of vector lines  and  is given by

Given:

The two vector lines  and 

Concept: 

The point of intersection of the two vector lines.

Solution:

Arrange the given vector lines   let say L₁ and   let say L₂ as follows,

          (A)

          (B)

Write down the parametric equation for L1  and L2 as follows,

For L1 ,

For  L2 ,

Equating values of x, y, and z from the parametric equation for L1  and L2 we will get

          (1)

          (2)

          (3)

Solving equations (1), (2), and (3) for k₁ and k₂ we will get,

k1 = -3, k2 = -2

Substituting the value of k1 for (A) and k2 for (B) either we will get

For (A)