A point is on the x-axis. What are its y-coordinate and z-coordinates?

Question 1 of 13beginner🧠 RememberVery Short1 mark

A point is on the $x$ -axis. What are its $y$ -coordinate and $z$ -coordinates?

Correct Answer

Its $y$ -coordinate is 0 and $z$ -coordinate is 0.

Exercise: EXERCISE 11.1 | Q: 1 | (Page Page 4)

For More Understanding

Explanation

The textbook explicitly states in the Note and Summary that the coordinates of any point on the $x$ -axis are of the form $(x, 0, 0)$ . In this triplet, the first value is the $x$ -coordinate, while the second and third values represent the $y$ and $z$ coordinates respectively. Therefore, for a point located on the $x$ -axis, both the $y$ and $z$ coordinates must be zero.

Solution Steps

Step 1: Identify the general form of coordinates for a point on the $x$ -axis from the text, which is given as $(x, 0, 0)$ .
Step 2: Observe that in the triplet $(x, 0, 0)$ , the second and third entries corresponding to the $y$ and $z$ coordinates are 0.