Understanding component-wise operations

Several vector operations are just component-wise operations. A component-wise operation is one that you perform on each component of a vector or on like components of two vectors. Like components are components that have the same subscript. The component-wise operations that you will implement are as follows:

• Vector addition
• Vector subtraction
• Vector scaling
• Multiplying vectors
• Dot product

Let's look at each of these in more detail.