Question

question 1 of 10
when the cartesian coordinate system is used to describe three-dimensional space, one needs three axes. these axes are typically called the ___, _, and ___ axes.

a. v
b. a
c. y
d. x
e. z

Explanation:

Identify the standard axes in three-dimensional space

In a standard three-dimensional Cartesian coordinate system, three mutually perpendicular axes are required to define any point in space. These axes are conventionally labeled as the \(x\)-axis, the \(y\)-axis, and the \(z\)-axis.

Match with the given options

The question states: "These axes are typically called the \_\_\_\_\_\_, \_\_\_\_\_\_, and \_\_\_\_\_\_ axes."
The options provided are:

• A. \(v\)
• B. \(a\)
• C. \(y\)
• D. \(x\)
• E. \(z\)

Since the three standard axes are \(x\), \(y\), and \(z\), the correct options that complete this statement are C, D, and E. In a multiple-selection format (indicated by the square checkboxes), options C, D, and E must be selected.

Answer:

• A. \(v\)
• B. \(a\)
• C. \(y\) (Correct answer)
• D. \(x\) (Correct answer)
• E. \(z\) (Correct answer)