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 | Give the component form of the resultant vector i… | Given vectors \(\mathbf{u}=(16,-8)\) and \(\mathbf{v}=(-5,3)\), we need to find \(\mathbf{u}+\mathb… |