# [[two plus zero i],[three minus four i],[four plus three i]]

The norm of a vector is the square root of the sum of each element of the vector squared.

Initially, First, multiply by .

Add and .

The absolute value is the distance between a number and zero. The distance between and is .

Raise to the power of .

Use the formula to find the magnitude.

Raise to the power of .

Raise to the power of .

Add and .

Should be rewritten as .

Withdraw terms from under the radical, assuming positive real numbers.

Raise to the power of .

Use the formula to find the magnitude.

Raise to the power of .

Raise to the power of .

Add and .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Raise to the power of .

Add and .

Add and .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

The result can be displayed in a variety of ways.

Exact Form:

Decimal Form:

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