Find the Norm [[2,2]]

Problem

∥[2,2]∥

Solution

1. Identify the components of the vector, which are x=2 and y=2

2. Apply the formula for the Euclidean norm (also known as the L2 norm) of a 2D vector, which is ∥[x,y]∥=√(,x2+y2)

3. Substitute the values into the formula to get √(,2+2)

4. Simplify the expression inside the square root by calculating the squares: √(,4+4)=√(,8)

5. Factor the square root to its simplest radical form: √(,4⋅2)=2√(,2)

Final Answer

∥[2,2]∥=2√(,2)

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