A point is in the XZ-plane. What can you say about its y-coordinate?

Question 2 of 13beginner💡 UnderstandVery Short1 mark

A point is in the XZ-plane. What can you say about its $y$ -coordinate?

Correct Answer

Its $y$ -coordinate is zero.

Exercise: EXERCISE 11.1 | Q: 2 | (Page Page 4)

For More Understanding

Explanation

The context states that the coordinates $x, y$ and $z$ are the distances from the YZ, ZX and XY-planes, respectively. If a point lies in the XZ-plane (also referred to as the ZX-plane in the text), its perpendicular distance from the ZX-plane is zero. Therefore, the $y$ -coordinate, which represents this distance, must be zero.

Solution Steps

Step 1: Identify from the context that the coordinates $x, y, z$ represent distances from the YZ, ZX, and XY-planes respectively.
Step 2: Recognize that the XZ-plane is the same as the ZX-plane mentioned in the text.
Step 3: Understand that for a point lying within a plane, the perpendicular distance from that plane is zero.
Step 4: Conclude that since the distance from the ZX-plane is the $y$ -coordinate, the $y$ -coordinate must be zero.

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