Step 1: Identify the components of the vector. The vector is (3, 4), where 3 is the x-component and 4 is the y-component.
Step 2: Square the x-component. Calculate 3^2, which is 9.
Step 3: Square the y-component. Calculate 4^2, which is 16.
Step 4: Add the squared values together. Add 9 and 16 to get 25.
Step 5: Take the square root of the sum. Calculate √25, which equals 5.
Step 6: The magnitude of the vector (3, 4) is 5.
Vector Magnitude – The magnitude of a vector in a two-dimensional space is calculated using the Pythagorean theorem, which involves squaring the components, summing them, and taking the square root.
