Maths
General
Easy
Question
The value of for which the straight lines and are coplanar is
 1
 1

 2
Hint:
We are given equation of two straight lines. We are given that the lines are coplanar. Coplanar lines means line containing in the same plane. We have to find the value of p for which the lines are coplanar.
The correct answer is:
The given equation of the lines are as follows:
We have to find the value of p such that the lines are coplanar.
The conditions for coplanarity is as follows:
If two lines are given by
Here, the first term represents the position vector of a point through which line is passing. Second term is for the vector parallel to the given line.
The condition for coplanarity is as follows:
If we see it is an scalar triple product. So, the scalar triple product should be zero.
We will solve the scalar triple product now.
So, the value of p for which the lines are coplanar is 2.
For such questions, we should know the condition for two lines to be coplanar. We should also know about the scalar triple product.
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