Given u = (3, -2) and v = (5, 4), find u + v.
Solution
Problem
Given u = (3, -2) and v = (5, 4), find u + v.
Step 1: Recall how to add vectors.
To add two vectors, add their corresponding components.
u = (3, -2)
v = (5, 4)
Step 2: Add the first components.
3 + 5 = 8
Step 3: Add the second components.
-2 + 4 = 2
Step 4: Write the resulting vector.
u + v = (8, 2)
Therefore, the sum of the two vectors is (8, 2).
Result
u + v = (8, 2)