plane hkp and plane rkp are 2 distinct planes. Name the intersection of plane hkp and rkp
my answer is line kp
the answers are 1.d 2.d 3.a 4.a you can trust me I just took the quiz
^^^^^ those are correct, thanks
To find the intersection of two planes, we need to determine if the planes are parallel, coincident, or intersecting. Given that the planes HKP and RKP are distinct (which means they are not the same plane), we can proceed.
The key concept to consider is that when two distinct planes intersect, their intersection will always be a line.
To find the line of intersection between the two planes HKP and RKP, we can start by calculating the normal vectors of each plane.
A normal vector of a plane is a vector that is perpendicular to that plane. It is represented by the coefficients in the equation of the plane, where the variables are x, y, and z.
Once we have the normal vectors, we can use them to determine the direction vector of the line of intersection.
Here are the steps:
1. Write down the equation of the planes HKP and RKP in the general form: Ax + By + Cz + D = 0.
2. Identify the coefficients A, B, and C for both planes.
3. The coefficients (A, B, C) form the normal vector of each plane. Normalize these vectors if needed.
4. Take the cross product of the two normal vectors to obtain the direction vector of the line of intersection.
5. Write down the equation of the line using a known point on both planes (e.g., the point K or any other common point).
6. Finalize the equation of the line and simplify if necessary.
By following these steps, you should be able to determine the equation of the line of intersection (in this case, line KP) for the planes HKP and RKP.