# Worksheet: Intersection of Planes

In this worksheet, we will practice finding the point/line of intersection between planes given their equations.

Q1:

Find the point of intersection of the planes , , and .

• A
• B
• C
• D
• E

Q2:

Find the vector equation of the line of intersection between the two planes and .

• A
• B
• C
• D
• E

Q3:

Find the vector equation of the line of intersection between the two planes and .

• A
• B
• C
• D
• E

Q4:

Find the point of intersection of the planes , , and .

• A
• B
• C
• D
• E

Q5:

Find the point of intersection of the planes , , and .

• A
• B
• C
• D
• E

Q6:

Find the point of intersection of the planes , , and .

• A
• B
• C
• D
• E

Q7:

Find the point of intersection of the planes , , and .

• A
• B
• C
• D
• E

Q8:

Find the coordinates of the point of intersection of the straight line with the plane .

• A
• B
• C
• D
• E

Q9:

Straight line is parallel to plane , and from a point neither on the line nor in the plane are drawn rays , meeting in and . If , what is the ratio between and ?

• A
• B
• C
• D

Q10:

Find the point of intersection of the straight line and the plane .

• A
• B
• C
• D

Q11:

Find the point of intersection of the line with the plane .

• A
• B
• C
• D
• E

Q12:

Determine whether the following sentence is true or false: In every plane, any two intersecting lines are perpendicular.

• Atrue
• Bfalse