In this worksheet, we will practice finding the coordinates of a point in three dimensions, the plane in which it is located, and the distance between two points.

**Q2: **

Given that is the midpoint of the line segment between and , what is ?

- A
- B
- C
- D

**Q3: **

Given that is the midpoint of , where the coordinates of and are and , respectively, what is ?

**Q4: **

Given that point lies in the -plane, determine its distance from the -plane.

**Q5: **

Calculate, to two decimal places, the area of the triangle , where the coordinates of its vertices are at , , and .

**Q6: **

What is the distance between the point and the -axis?

- A length units
- B19 length units
- C length units
- D length units

**Q7: **

The points , , and are on the -, -, and -axes, respectively. Given that is the midpoint of and the midpoint of , find the coordinates of the midpoint of .

- A
- B
- C
- D

**Q8: **

Find so that the points , , are collinear.

**Q9: **

Given that point lies in the -plane, determine its distance from the -plane.

**Q10: **

Given that point lies in the -plane, determine its distance from the -plane.