Vectors

Walkthrough

Find the magnitude of vector (3, 4).

1. 1.Recall the magnitude formula: |v| = √(x² + y²), where v = (x, y).
2. 2.Identify the given vector: v = (3, 4), so x = 3 and y = 4.
3. 3.Substitute into the formula: |v| = √(3² + 4²) = √(9 + 16).
4. 4.Compute: |v| = √25 = 5.
5. 5.So the magnitude of (3, 4) is 5.