Question

Let L1 and L2 be the following straight lines.L1:x−11=y−1=z−13 and L2−1−3=y−1=z−11Suppose the straight lineL:x−αl=y−1m=z−γ−2Lines in the plane containing

L1 and L2 and passes through the point of intersection of L1 and L2

Answer 1

To find the equation of a line passing through the point of intersection of L1 and L2, you need to find the coordinates of the intersection point first. Once you have the coordinates, you can substitute them into the equation for the line L to find the equation of the line passing through the intersection point.

Step-by-step explanation:

In order to find the equation of a line passing through the point of intersection of L1 and L2, we need to find the coordinates of the intersection point first. To find the coordinates, we can solve the system of equations formed by L1 and L2. By equating the x, y, and z components of the two lines, we can find the values of x, y, and z at the intersection point.

Once we have the coordinates of the intersection point, we can substitute those values into the equation for the line L to find the equation of the line passing through the intersection point.

For example, let's say the coordinates of the intersection point are (a, b, c). Then the equation of the line passing through that point can be written as: x - a = y - b = z - c.