In this worksheet, we will practice recognizing parallel and perpendicular lines in space.

**Q1: **

Determine whether the following is true or false: If the component of a vector in the direction of another vector is zero, then the two are parallel.

- Afalse
- Btrue

**Q2: **

Given that , , and , find the relation between and .

- A
- B
- C
- D

**Q3: **

Given that , , and , where and are two perpendicular unit vectors, find the value of .

**Q4: **

Suppose , , , and , find .

- A
- B
- C
- D

**Q5: **

Given the two vectors and , determine whether these two vectors are parallel, perpendicular, or otherwise.

- Aotherwise
- Bperpendicular
- Cparallel

**Q6: **

Find the values of and so that vector is parallel to vector .

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

**Q7: **

In the figure, is perpendicular to the plane , which contains the points . If and , find the area of .

- A 3,272.5
- B 1,530
- C 3,060
- D 1,386

**Q8: **

Which of the following vectors is not perpendicular to the line whose direction vector is ?

- A
- B
- C
- D

**Q9: **

If the straight line is perpendicular to , and , find .