- #1
ttpp1124
- 110
- 4
- Homework Statement
- Hi! I finished the question, can someone check? Also, should I be reducing my answer?
- Relevant Equations
- n/a
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Last edited:
Looks fine to me. The formula you used apparently wasttpp1124 said:Homework Statement:: Hi! I finished the question, can someone check? Also, should I be reducing my answer?
Relevant Equations:: n/a
https://www.physicsforums.com/attachments/260124
The distance between a point and a plane can be calculated by finding the perpendicular distance from the point to the plane. This can be done by using the formula d = |ax + by + cz + d| / √(a^2 + b^2 + c^2), where (x, y, z) is the coordinates of the point and ax + by + cz + d = 0 is the equation of the plane.
No, the distance between a point and a plane is always positive. This is because the perpendicular distance is always measured in a positive direction from the point to the plane.
The distance from a point to a plane is the shortest distance between the point and any point on the plane. The distance between two planes, on the other hand, is the shortest distance between any two points on the two planes. This distance is measured along a line that is perpendicular to both planes.
To determine if a point (x, y, z) lies on a plane with equation ax + by + cz + d = 0, simply substitute the coordinates of the point into the equation. If the resulting value is 0, then the point lies on the plane. If the resulting value is not 0, then the point does not lie on the plane.
Yes, there is another method to calculate the distance between a point and a plane. This method involves finding the projection of the point onto the plane, and then calculating the distance between the projected point and the original point. However, this method can be more complicated and may require more advanced mathematical concepts.