# Lesson Worksheet: Equation of a Plane: Vector, Scalar, and General Forms Mathematics

In this worksheet, we will practice finding the vector, scalar (standard or component), and general (Cartesian or normal) forms of the equation of a plane given the normal vector and a point on it.

Q1:

Which of the following planes contains the straight line ?

• A
• B
• C
• D
• E

Q2:

Find the vector form of the equation of the plane that has normal vector and contains the point .

• A
• B
• C
• D

Q3:

Find the direction cosines of the normal to the plane .

• A
• B
• C
• D

Q4:

In which of the following planes does the point lie?

• A
• B
• C
• D
• E

Q5:

Which of the following points lies in the plane ?

• A
• B
• C
• D

Q6:

Find the general equation of the plane which passes through the point and contains the -axis.

• A
• B
• C
• D
• E

Q7:

Find the equation of the plane .

• A
• B
• C
• D
• E

Q8:

Find the equation of the plane which is perpendicular to the vector and passes through the point .

• A
• B
• C
• D
• E

Q9:

A plane passes through and has normal . Give its equation in vector form.

• A
• B
• C
• D

Q10:

Which of the following does the equation represent in three-dimensional space?

• Aa plane containing the -axis
• Ba plane containing the -axis
• Ca straight line whose direction ratios are
• Da plane containing the -axis

This lesson includes 43 additional questions and 382 additional question variations for subscribers.