Vector Quantities


Related Pages
Vectors
Equal Vectors
Common Core (Vector and Matrix Quantities)
Common Core for Mathematics

These lessons, with videos, examples and step-by-step solutions, help High School students recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g.,v, |v|, ||v||,v).




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Common Core: HSN-VM.A.1

In physics and mathematics, physical quantities are broadly categorized into two types: scalar quantities and vector quantities. The key difference lies in whether or not they possess a direction in addition to their magnitude (size).

The following diagram gives some examples of scalar and vector quantities. Scroll down the page for more examples and solutions on how to use scalar and vector quantities.

Scalar Vector Quantities
 

Scalar Quantities
A scalar is a quantity that has only magnitude (size or amount) but no direction. Scalars are described by a single number and a unit.

Vector Quantities
A vector is a quantity that has both magnitude and direction. Vectors are represented graphically as arrows, where the length of the arrow represents the magnitude, and the direction of the arrow represents the direction of the vector.

Vector Basics

An introduction to terminology and how to draw vectors. Two Types of Quantities, Basic Terminology, Vectors, Direction, Draw the Vector 3 m/s at 90°.

Scalars and Vectors

Describes the difference between scalars and vectors.




Scalars and Vectors

This video explains the differences between scalar and vectors quantities. He also uses a demonstration to show the importance of vectors and vector addition.

Vector Quantities



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