MAC2313 Lecture Notes - Lecture 2: Pythagorean Theorem, Scalar Multiplication
Document Summary
Provide a generalization to each of the key terms listed in this section. Vectors are amounts which is totally described by two things: its greatness (or size) and its heading. A scalar is an amount (just numbers), which is totally described by its greatness alone. a scalar is an amount (just numbers), which is totally described by its greatness alone. Speed has magnitude and not direction, which explain why speed is a scalar and not a vector, while velocity has both magnitude (length) and direction, which explain why velocity is a vector and not a scalar. For example, a car"s velocity can be 50 mph east whereas a car"s speed is only. 50 mph, which does the reference any certain direction. The a in the ordered pair of (a, b) would be considered the vector"s scalar horizontal component whereas the b in the ordered pair of (a, b) would be considered the vector"s scalar vertical compo- nent.