Linear Algebra pp 1-12 | Cite as

# Vectors in the plane and space

## Abstract

In physics certain quantities such as *force, displacement, velocity*, and *acceleration* possess both a magnitude and a direction and they are most usually represented geometrically by drawing an arrow with the magnitude and direction of the quantity in question. Physicists refer to the arrow as a *vector*, and call the quantities so represented *vector quantities*. In the study of the calculus the student has no doubt encountered vectors, and their algebra, particularly in connection with the study of lines and planes and the differential geometry of space curves. Vectors can be described as *ordered pairs* of points (**P, Q**) which we call the *vector from P to Q* and often denote by \(\overrightarrow {PQ}\). This is substantially the same as the physics definition, since all it amounts to is a technical description of the word “arrow.” **P** is called the *initial point* and **Q** the *terminal point*.

## Keywords

Initial Point Position Vector Line Passing Vector Equation Terminal Point## Preview

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