Vector quantities have a number and direction associated with them. The amount of money in your checking account, the temperature, the number of hairs on your head are examples of numbers with no direction associated with them. A velocity, a force or an acceleration are examples of numbers with directions associated with them. Numbers without an associated direction are called scalars and numbers with an associated direction are called vectors.

Vectors are represented by arrows with the length representing their magnitude (number) and their orientation, with respect to a coordinate system, representing their direction. A scalar is a number. A vector is a number with a direction.

Vector problems are listed below. After viewing each problem return to this page to select another problem.   

• Tutorial on Handling Units
• Vec01 Number plus angle and components
• Vec02 Switch Number plus angle to components
• Vec03 Switch components to number plus angle
• Vec04 Number plus angle to components (negatives)
• Tutorial on Adding and Subtracting Vectors
• Vec05 Add vectors
• Vec06 Subtract vectors
• Vec07 Switch components to number plus angle (negatives)
• TVec11 Find a vector from components
• Vec20 Unit vectors
• Vec21 Adding and Subtracting with unit vectors
• TVec22 Components in unit vectors from vector
• Vec30 Dot Product (geometry)
• TVec31 Add and subtract vectors with components
• TVec41 Resultant of two vector forces
• TVec51 Dot Product (force and displacement)
• TVec61 Cross product by determinant

Copyright © Robert M. Oman 2004