In this worksheet, we will practice recognizing parallel and perpendicular lines in space.
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.
Given that , , and , find the relation between and .
Given that , , and , where and are two perpendicular unit vectors, find the value of .
Suppose , , , and , find .
Given the two vectors and , determine whether these two vectors are parallel, perpendicular, or otherwise.
Find the values of and so that vector is parallel to vector .
- A ,
- B ,
- C ,
- D ,
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
Which of the following vectors is not perpendicular to the line whose direction vector is ?
If the straight line is perpendicular to , and , find .