# Calculus 3 : Normal Vectors

## Example Questions

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### Example Question #91 : Normal Vectors

Find the normal vector to the plane containing the vectors  and

Explanation:

To find the normal vector to a plane containing vectors  and , you take the cross product of the two vectors.

To find the cross product between the two vectors  and , you take the determinant of the 3x3 matrix

Using the vectors from the problem statement, we get

### Example Question #92 : Normal Vectors

Find the normal vector to the plane containing the vectors  and

Explanation:

To obtain the normal vector to a plane containing two vectors  and , you compute the determinant of the 3x3 matrix

Using this formula, we evaluate using the vectors from the problem statement:

### Example Question #93 : Normal Vectors

Find the normal vector to the plane that contains the vectors  and

Explanation:

To obtain the normal vector to a plane containing two vectors  and , you compute the determinant of the 3x3 matrix

Using this formula, we evaluate using the vectors from the problem statement:

### Example Question #94 : Normal Vectors

Find the normal vector to the plane that contains the vectors  and

Explanation:

To obtain the normal vector to a plane containing two vectors  and , you compute the determinant of the 3x3 matrix

Using this formula, we evaluate using the vectors from the problem statement:

### Example Question #95 : Normal Vectors

Find the normal vector to the plane that contains the vectors  and

Explanation:

To obtain the normal vector to a plane containing two vectors  and , you compute the determinant of the 3x3 matrix

Using this formula, we evaluate using the vectors from the problem statement:

### Example Question #96 : Normal Vectors

Find the Unit Normal Vector to the given plane.

.

Explanation:

Recall the definition of the Unit Normal Vector.

Let

### Example Question #591 : Vectors And Vector Operations

Find the Unit Normal Vector to the given plane.

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