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Determine whether the present L1 and L2 are parallel, skew, or intersecting 0 votes

Determine whether the currently L1 and L2 are parallel, skew, or intersecting. If they intersect, find the suggest of intersection.

You are watching: Determine whether the lines l1 and l2 are parallel skew or intersecting

please log in or register to add a comment. please log in or register to price this question. 2 answers 0 votes

**Step 1:**

Symmetric equations of the lines are

and

.Standard kind of symmetric equations of the line space

.Here vector

is parallel heat to the above line.Parallel line corresponding to the line

is .Consider

.Similarly parallel line equivalent to the line

is .Consider

.If these 2 parallel currently

room parallel, climate the present and are likewise parallel.Find the cross product the

and also .The cross product is no equal to zero, then the lines space not parallel.

**Continued:**

**Step 2:**

**Check because that intersection of the lines: **

If

and also had a point of intersection, then find the allude by solving the lines.Consider

andWrite the line equations in parametric form.

and .Equate the corresponding values.

Equation(1) Equation(2) Equation(3)Solve equation(1) and equation(2) and also find the worths of

and also .Multiply the equation(1) by 2.

Subtract the over two equations.

Substitute

in equation(1).substitute

and in equation(3).Thus, the worths of

fulfill the equation(3).The lines

and space intersecting lines.Substitute

in the line equation to get the allude of intersection.The allude of inter ar is

.**Solution:**

The lines

and also are intersecting lines.See more: What Does Not In Bop Custody Means, What Does Not In Bop Custody Mean

The point of intersection is

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