# Worksheet: Equation of a Straight Line in Space: Parametric Form

In this worksheet, we will practice finding the parametric equations of straight lines in space.

**Q2: **

Which of the following are the parametric equations of the line through point with a direction perpendicular to vector ?

- A ,
- B ,
- C ,
- D ,

**Q3: **

Find the parametric equations of the straight line .

- A , ,
- B , ,
- C , ,
- D , ,

**Q4: **

Give the parametric equation of the line on point , with direction vector .

- A , ,
- B , ,
- C , ,
- D , ,

**Q5: **

Determine the parametric equations of the straight line passing through the points and .

- A , ,
- B , ,
- C , ,
- D , ,

**Q6: **

Which of the following are the parametric equations of the line through point with a direction perpendicular to vector ?

- A ,
- B ,
- C ,
- D ,

**Q7: **

Which of the following are the parametric equations of the line through point with a direction perpendicular to vector ?

- A ,
- B ,
- C ,
- D ,

**Q8: **

- A ,
- B ,
- C ,
- D ,

**Q9: **

- A ,
- B ,
- C ,
- D ,

**Q10: **

- A ,
- B ,
- C ,
- D ,

**Q11: **

- A ,
- B ,
- C ,
- D ,

**Q12: **

- A ,
- B ,
- C ,
- D ,

**Q15: **

Which of the following points lies on the straight line ?

- A
- B
- C
- D

**Q16: **

The line passes through the sphere . Find the length of the line segment between the two points of intersection of the line and the sphere. Give your answer to the nearest hundredth.

**Q17: **

A cube with side 3 sits with a vertex at the origin and three sides along the positive axes. Find the parametric equations of the main diagonal from the origin.

- A , ,
- B , ,
- C , ,
- D , ,

**Q19: **

Give the parametric equation of the line through the origin with direction vector .

- A , ,
- B , ,
- C , ,
- D , ,