Find the Norm [[7],[24]]

Problem

‖[7],[24]‖

Solution

1. Identify the components of the vector v=[[(v_1)],[(v_2)]] where (v_1)=7 and (v_2)=24

2. Apply the formula for the Euclidean norm (magnitude) of a 2D vector, which is ∥v∥=√(,(v_1)2+(v_2)2)

3. Substitute the values into the formula:

√(,7+24)

4. Calculate the squares of the components:

√(,49+576)

5. Sum the squared values:

√(,625)

6. Simplify the square root to find the final magnitude:

25

Final Answer

‖[7],[24]‖=25

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