Vector Algebra - Basic Concepts and Classification

Practice vocabulary flashcards reviewing scalar and vector quantities, classifications of measures, and vector relationships from Exercise 10.1.

Time

A physical quantity classified as a scalar.

Volume

A physical quantity classified as a scalar.

Density

A physical quantity classified as a scalar.

Speed

A physical quantity classified as a scalar.

Force

A physical quantity classified as a vector.

Velocity

A physical quantity classified as a vector.

Collinear vectors (Fig 10.5)

The vectors identified as collinear in Fig 10.5 are $\mathbf{a}$, $\mathbf{c}$, and $\mathbf{d}$.

Equal vectors (Fig 10.5)

The vectors identified as equal in Fig 10.5 are $\mathbf{a}$ and $\mathbf{c}$.

Coinitial vectors (Fig 10.5)

The vectors identified as coinitial in Fig 10.5 are $\mathbf{b}$, $\mathbf{c}$, and $\mathbf{d}$.

$$10\,\text{kg}$$

A measure of mass classified as a scalar.

$$2\,\text{meters north-west}$$

A measure of displacement classified as a vector.

$$40^\circ$$

An angular measure classified as a scalar.

$$40\,\text{watt}$$

A measure of power classified as a scalar.

$$10^{-19}\,\text{coulomb}$$

A measure of electric charge classified as a scalar.

$$20\,\text{m/s}^2$$

A measure of acceleration classified as a vector.

Distance

A quantity classified as a scalar.

Work done

A quantity classified as a scalar.

Collinearity of $\mathbf{a}$ and $-\mathbf{a}$

A property stating that the vector $\mathbf{a}$ and its negative $-\mathbf{a}$ are collinear.