# Calculus 2 : Parametric, Polar, and Vector

## Example Questions

### Example Question #91 : Vector Calculations

Vector .

Calculate the magnitude, or , of

Explanation:

Calculating magnitude:

If

Then the magnitude of  is

Note: Magnitude, length, and norm are synonymous.

cannot be further reduced, and so

### Example Question #92 : Vector Calculations

Vector .

Calculate the magnitude of  , as in

Explanation:

Calculating magnitude:

If

Then the magnitude of  is

Note: Magnitude, length, and norm are synonymous.

Note: , and this is a basic trig identity that you should know.

cannot be further reduced, and so

### Example Question #601 : Parametric, Polar, And Vector

Vector .

Calculate the magnitude, or , of

Explanation:

Calculating magnitude:

If

Then the magnitude of  is

Note: Magnitude, length, and norm are synonymous.

### Example Question #7 : Vector Form

Calculate

Explanation:

Calculate the sum of vectors.

In general,

Solution:

### Example Question #601 : Parametric, Polar, And Vector

Calculate

Explanation:

Calculate the sum of vectors.

In general,

Solution:

### Example Question #101 : Vector Calculations

Calculate

Explanation:

Calculate the sum of vectors.

In general,

Solution:

### Example Question #102 : Vector Calculations

Calculate

Explanation:

Calculate the dot product of the 2 vectors.

In general,

Solution:

### Example Question #103 : Vector Calculations

Calculate

Explanation:

Calculate the dot product of the 2 vectors.

In general,

Solution:

### Example Question #104 : Vector Calculations

Calculate

Explanation:

Calculate the sum of vectors.

In general,

Solution:

Calculate