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

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

Q1:

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

• A
• B
• C
• D

Q2:

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

• A
• B
• C
• D

Q3:

Find, in parametric form, the equation of the plane that passes through the point and contains the two vectors and .

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q4:

Which of the following is a parametric form of the equation of the plane that contains the line and the vector ?

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q5:

Which of the following is the parametric form of the equation of the plane that contains the two lines and ?

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q6:

Find the parametric form of the equation of the plane that passes through the points , , and .

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q7:

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

• A
• B
• C
• D
• E

Q8:

Find the general equation of the plane , , .

• A
• B
• C
• D
• E

Q9:

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

• A
• B
• C
• D
• E

Q10:

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

• A
• B
• C
• D
• E