This cheat sheet covers the high school math concept – Vector Algebra.
A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment – which is simply a segment with an arrow at one of its end points.
The arrow end is called the head and the other end is called the tail of the vector. We define the magnitude of this vector as the length of this segment. The direction of the vector is from its tail to its head.
A good knowledge of the basic formulae of vector algebra is a must to understand and solve problems related to vector geometry. A cheat sheet on Vector Geometry is also available on this website.
Some of the concepts and formulae covered in this cheat sheet will be quite helpful in understand those related to three-dimensional geometry. A cheat sheet on 3D Geometry is also available on this website.
This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.
The topics included in this cheat sheet are:
- Scalar Multiplication
- Vector Addition
- Linear Combination
- Dot Product
- Cross Product
- Scalar Triple Product
- Vector Triple Product
- Vector Quadruple Product
- Geometrical Interpretations
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