What is the intersection of two planes answers?
Answer and Explanation: The intersection of two planes is called a line.
When two planes intersect the intersection is a line?
The intersection of two planes is always a line If two planes intersect each other, the intersection will always be a line.
What is the intersection of a plane and a line intersecting it?
Answer: If a line and a plane intersect one another, the intersection will be a single point, or a line (if the line lies in the plane). If we want to double-check ourselves, we can plug this coordinate point back into the equation of the plane.
How do you find the line of intersection between two planes?
The intersection of two planes is always a line
- r = r 0 + t v r=r_0+tv r=r0+tv.
- x = a x=a x=a, y = b y=b y=b, and z = c z=c z=c.
- where a, b and c are the coefficients from the vector equation r = a i + b j + c k r=a\bold i+b\bold j+c\bold k r=ai+bj+ck.
Is it true that when two planes intersect two lines are formed?
If two different planes intersect, then their intersection is a line. If a line and a plane have no points in common, then they are parallel. If two planes do not intersect, then they are parallel. If two lines are perpendicular to the same plane, then they are parallel to each other.
How do you find the intersection of a line?
How Do I Find the Point of Intersection of Two Lines?
- Get the two equations for the lines into slope-intercept form.
- Set the two equations for y equal to each other.
- Solve for x.
- Use this x-coordinate and substitute it into either of the original equations for the lines and solve for y.
What is the intersection between a line and a plane?
If a line and a plane intersect one another, the intersection will be a single point, or a line (if the line lies in the plane). If we want to double-check ourselves, we can plug this coordinate point back into the equation of the plane.