Coordinates of a point in 3D space
A coordinate of a point in 3D space is a triple of numbers, typically represented as (x, y, z), where: - x represents the horizontal distance of the poi...
A coordinate of a point in 3D space is a triple of numbers, typically represented as (x, y, z), where: - x represents the horizontal distance of the poi...
A coordinate of a point in 3D space is a triple of numbers, typically represented as (x, y, z), where:
x represents the horizontal distance of the point from the x-axis.
y represents the vertical distance of the point from the y-axis.
z represents the z-coordinate of the point from the z-axis.
These coordinates are often used to define the position of a point in 3D space.
Examples:
The point (3, 4, 5) is located 3 units to the right of the x-axis, 4 units above the y-axis, and 5 units below the z-axis.
The point (-2, 3, 7) is located 2 units to the left of the x-axis, 3 units above the y-axis, and 7 units above the z-axis.
The coordinate system is right-handed, with the x-axis pointing to the right, the y-axis pointing upwards, and the z-axis pointing downward.
The distance between any two points in 3D space can be calculated using the formula:
Distance = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points