The sum of the two vectors is the vector that begins at the origin of the first vector and goes to the ending of the second vector, as shown below. The resultant, or sum, vector would be the vector fr...The sum of the two vectors is the vector that begins at the origin of the first vector and goes to the ending of the second vector, as shown below. The resultant, or sum, vector would be the vector from the origin of the first vector to the arrowhead of the last vector; the magnitude and direction of this sum vector would then be measured.
This page explains vector addition in two dimensions through graphical and mathematical methods. Graphically, vectors are added head to tail to find the resultant vector. Mathematically, vectors are r...This page explains vector addition in two dimensions through graphical and mathematical methods. Graphically, vectors are added head to tail to find the resultant vector. Mathematically, vectors are resolved into components using trigonometry and the Pythagorean theorem, useful for non-perpendicular vectors. Examples demonstrate that perpendicular vectors do not influence each other's components. The text also includes practice questions to enhance understanding of the concepts.
