Vector Analysis

To resolve vectors outside quadrant 1, the procedure is no different than what you learned previously, except you must take into account the CAST rule. Let’s begin with a quick video example: Occasionally, you may need to couple your knowledge with what you know about the cosine law. This is…

Anything that involves an amount and an associated direction is a potential application of vectors. The direction and speed of a car during a collision is a good example; the direction and distance from your house to your school or office is another. Anything that you can see or imagine…

Any vector can be replaced by two vectors which, acting together, exactly duplicate the effect of the original vector. These replacement vectors are called the components of the vector, and are usually chosen perpendicular (at right angles) to each other. Another name for these perpendicular component vectors is rectangular components. The process…

Many quantities in technology cannot be described fully without giving their direction as well as their magnitude (how large a quantity is relative to zero). For example, it is not always useful to know how fast something is moving (speed) without knowing the direction in which it is moving in. Velocity is…