The process of combining two vectors to yield a third vector, commonly referred to as the resultant, is known as vector addition. This operation involves the summation of equivalent components of the vectors in question. To illustrate, consider vector A = (a1, a2) and vector B = (b1, b2). Their summation would be A+B = (a1+b1, a2+b2). It's worth noting that vector addition adheres to the principles of both commutativity and associativity.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the vectors \(\vec{a} = 3\hat{i} - 2\hat{j}… | First, add the \(i\) components of the vectors: \(3 - 1 = 2\). |