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Components of Vectors Why do we write vectors in component form? When working with vectors in context it is often useful to break them down into components acting in a direction that is not one of ...
The scalar product is one method of multiplying vectors which results in a scalar and has uses when working with vectors and lines. The vector product is a different method, which results in a vect...
The Scalar ('Dot') Product What is the scalar product? The scalar product (also known as the dot product) is one form in which two vectors can be combined together The result of taking the scalar p...
Magnitude of a Vector How do you find the magnitude of a vector? The magnitude of a vector tells us its size or length For a displacement vector it tells us the distance between the two points For ...
Adding & Subtracting Vectors How are vectors added and subtracted numerically? To add or subtract vectors numerically simply add or subtract each of the corresponding components In column vecto...
Scalars & Vectors What are scalars? Scalars are quantities without direction They have only a size (magnitude) For example: speed, distance, time, mass Most scalar quantities can never be negat...
Determinant of a Transformation Matrix What is a determinant? the determinant is det A = ad - bc What does the determinant of a transformation matrix (A) represent? The absolute value of the determ...
Transformation by a Matrix What is a transformation matrix? A transformation matrix is used to determine the coordinates of an image from the transformation of an object Commonly used transformatio...
Toxic Waste Dump Problem What is the toxic waste dump problem? The toxic waste dump problem is the name given to the general idea of finding the point on a Voronoi diagram which is furthest from an...
