Question

question 4 of 10

typically, a point in a three-dimensional cartesian coordinate system is represented by which of the following?

a. \\((w, x, y)\\)
b. \\(x, y, z\\)
c. \\((x, y, v)\\)
d. \\((x, y, z)\\)

Explanation:

Identify the standard representation of a 3D point

Using the Three-Dimensional Coordinates and Cartesian Coordinate Axes knowledge points

$$ P = (x, y, z) $$

Evaluate the given options

Using the Three-Dimensional Coordinates knowledge point

• Option A: \((w, x, y)\) uses non-standard variables.
• Option B: \(x, y, z\) lacks the necessary parentheses for an ordered triple.
• Option C: \((x, y, v)\) uses a non-standard third coordinate.
• Option D: \((x, y, z)\) correctly represents the ordered triple.

Answer:

• A. \((w, x, y)\)
• B. \(x, y, z\)
• C. \((x, y, v)\)
• D. \((x, y, z)\) (Correct answer)