# Worksheet: Equation of a Plane: Intercept and Parametric Forms

In this worksheet, we will practice finding the equation of a plane in different forms, such as intercept and parametric forms.

Q1:

Find the general equation of the plane , , .

• A
• B
• C
• D
• E

Q2:

Write, in intercept form, the equation of the plane .

• A
• B
• C
• D
• E

Q3:

What is the length of the segment of the -axis cut off by the plane ?

• A of a length unit
• B8 length units
• C32 length units
• D4 length units

Q4:

Find the general form of the equation of the plane which intersects the coordinate axes at the points , , and .

• A
• B
• C
• D

Q5:

Given that the plane intersects the coordinate axes , , and at the points , , and , respectively, find the area of .

• A
• B
• C
• D
• E

Q6:

Determine the general equation of the plane that intersects the negative -axis at a distance of 2 from the origin, intersects the positive -axis at a distance of 3 from the origin, and passes through the point .

• A
• B
• C
• D
• E

Q7:

Find the general equation of the plane that passes through the point and cuts off equal intercepts on the three coordinate axes.

• A
• B
• C
• D
• E

Q8:

Find the equation of the plane cutting the coordinate axes at , , and , given that the intersection point of the medians of is .

• A
• B
• C
• D
• E

Q9:

Find the equation of the plane whose -, -, and -intercepts are , 3, and , respectively.

• A
• B
• C
• D

Q10:

What is the length of the segment of the cut off by the plane ?

• A
• B
• C
• D
• E

Q11:

Choose the possible parametric equation of the plane .

• A , ,
• B , ,
• C , ,
• D , ,
• E , ,