# Worksheet: Parallel and Perpendicular Lines in Space

Q1:

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

• A
• B
• C
• D

Q2:

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

• A 3β272.5
• B 1β530
• C 3β060
• D 1β386

Q3:

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

Q4:

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

• A
• B
• C
• D

Q5:

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

Q6:

Suppose , , , and , find .

• A
• B
• C
• D

Q7:

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

• Aotherwise
• Bperpendicular
• Cparallel

Q8:

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

• A ,
• B ,
• C ,
• D ,

Q9:

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

• A ,
• B ,
• C ,
• D ,