Vector Notation Practice
Express the vector \(\vec{v} = 3\mathbf{i} – 2\mathbf{j} + \mathbf{k}\) in coordinate form and write it as an ordered triple.
Vector Notation in 2D and 3D
Explain how a vector represented in 2D as \( (x, y) \) is extended to 3D as \( (x, y, z) \), and discuss the implications for vector operations such as addition and scalar multiplication.