Maths-
General
Easy
Question
Let 
and 
. Then, the line of intersection of planes one determined by 
and other determined by 
is perpendicular to
- x-axis
-axis
- both
-axis &y -axis
- both -axis &
- axis
-axis
-axis &y -axis
-axis & - axis
Hint:
We are given that there are two planes. We are given two vectors in that plane. We have to tell the line of intersection of the points determined by the vectors is perpendicular to which axis. To find the line of intersection of planes we need normal. The normal is perpendicular to that line itself. To find the normal to the plane, we take cross product of two vectors in that plane.
The correct answer is: both -axis & - axis
The given vectors in first and second plane are 
and 
The vectors are given as follows:
We will find the normal to the planes using the vectors.
The normal to the first plane will be using first two vectors and the normal to the second plane will be using next two vectors.
If we see in both the normals there is no x component.
We will use the normals to find the line of intersection of the planes.
If we see the vector has only x component. It means the line is parallel to x-axis. And a line parallel to x-axis will be perpendicular to both y and z axis.
So, right answer is both y and z axis.
For such questions, we should know how to find the line intersecting two planes. We should also know how to find the normal to the plane using two vectors.
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