# Lesson Worksheet: Parallel, Perpendicular, and Intersecting Lines in Space Mathematics

In this worksheet, we will practice finding the equation of a straight line that is parallel or perpendicular to another one in space and finding the intersection point between two lines.

Q1:

Determine the vector form of the equation of the straight line passing through the point and parallel to the vector .

• A
• B
• C
• D

Q2:

Find the equation of the line through the origin that intersects the line orthogonally.

• A
• B
• C
• D

Q3:

Find the vector form of the equation of the straight line passing through the point and parallel to the straight line passing through the two points and .

• A
• B
• C
• D

Q4:

The lines , , and , , are parallel. What is ?

Q5:

Given that the lines and are perpendicular, what is ?

Q6:

If the two straight lines and are perpendicular, find .

• A
• B
• C
• D

Q7:

Consider the two lines , , and . Determine whether they are parallel or perpendicular.

• AParallel
• BPerpendicular

Q8:

Consider the two lines : and : . Choose the correct statement about them.

• A and are parallel but not coincident.
• B and are coincident lines.
• C and are skew lines.
• D and intersect at a point

Q9:

Find the Cartesian form of the equation of the straight line passing through the origin and the intersection point of the two straight lines and , .

• A
• B
• C
• D

Q10:

For what value of do the lines and intersect?

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