Learners explore the Pre-Calculus topic of vectors. The tutorial examines vector addition, components of a vector, and scalar multiplication. Examples with detailed solutions are included.

An animated illustration helps students understand that the summative result of two or more vectors can be determined by a process of vector addition.

Examples, solutions, videos, and lessons to help students learn how to multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of...

[Free Registration/Login may be required to access all resource tools.] Learn how to subtract two vectors using the triangle method.

A comprehensive list of the mathematical operations available as functions in the PVector object from Processing JS. Vector Subtraction and Vector multiplication are closely examined.

Apply what you've learned about vectors to solve some word problems! Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

[Free Registration/Login may be required to access all resource tools.] A collection of resources on how to add vectors.

In this physics tutorial, the task of summing vectors will be extended to cases in which the vectors are directed in directions other than purely vertical and horizontal.

[Free Registration/Login may be required to access all resource tools.] A collection of resources for learning about vector direction.

Understanding how to calculate the length (also known as magnitude) of a vector. Normalizing a vector is also examined.

An introduction to the most basic building block for programming motion--the vector. In JavaScript referring to a Euclidean vector defined as an entity that has both magnitude and direction.

This site explains how to find the vector equation of a plane given either the normal vector and a point in the plane or three distinct points in the plane.

[Free Registration/Login may be required to access all resource tools.] Solve problems involving velocity and other quantities that can be represented by vectors.

This physics tutorial illustrates problems that show the vector sum of two or more vectors is the resultant.

[Free Registration/Login may be required to access all resource tools.] Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise. Compute the...

[Free Registration/Login may be required to access all resource tools.] Example applications of vector analysis

Add two vectors in magnitude and direction form to get a new vector also in magnitude and direction form.

This study resource from Khan Academy provides practice questions for the MCAT. "Vectors and scalar" questions are provided on this resource.

[Free Registration/Login may be required to access all resource tools.] Finding the Vector equation of a line in three dimensions

The process of programming motion using vectors while adding velocity to the position.

Understanding and programming interactive vector motion by calculating an objects acceleration according to a rule stated in Algorithm 3-the object accelerates towards the mouse.

An unbelievable play on an American football field is the perfect backdrop for understanding crucial physics concepts. Michelle Buchanan goes play-by-play on the vectors, the scalars, and the glory of a downright scientific touchdown....

Can you predict how the components of projectile's velocity and acceleration change during their trajectory? This practice includes questions for students to test their problem solving skills with angled launch projectile vectors.

This page explains the properties and formulas resulting from forming a vector from two points on a three dimensional plane.