Pc8-2 Vectors2
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Vectors can be represented algebraically using ordered pairs. The magnitude of a vector can be found using the Pythagorean theorem by treating the horizontal and vertical components as the legs of a right triangle. Vectors can be added and subtracted by adding or subtracting their corresponding components, and multiplied by a scalar by multiplying each component by the scalar. A unit vector has a magnitude of 1 and vectors can be expressed as the sum of unit vectors in the x and y directions.
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The document discusses inner products and cross products of vectors. It states that the inner product of two vectors results in a number, not a vector, and that two vectors are perpendicular if their inner product is zero. It also notes that the cross product of two vectors is a vector and results in a vector perpendicular to both original vectors. It provides an example of finding the cross product of two specific vectors.
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