The following topics are immediate subtopics of Vector Terminology.

Term: Cross Product
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 Definition: The cross product of u = [u_1, u_2, u_3] and v = [v_1, v_2, v_3] is the vector u X v defined by u X v = [(u_2)(v_3) – (u_3)(v_2), (u_3)(v_1) – (u_1)(v_3), (u_1)(v_2) – (u_2)(v_1)].

Term: Direction Cosine
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 Definition: The direction angles of a nonzero vector a are the angles alpha, beta, and gamma (in the interval [o, pi]) that a makes with the positive x, y, and z axes. The cosines of these direction angles...

Term: Head To Tail Rule
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 Definition: Given vectors u and v in R^2, translate v so that its tail coincides with the head of u. The sum u + v is the vector from the tail of u to the head of v.

Term: Normalizing
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 Definition: Finding a unit vector in the same direction is often referred to as normalizing a vector.

Term: Normal Vector
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 Definition: A normal vector is one that is perpendicular to something else, usually a plane

Term: Parallelogram Rule
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 Definition: Given vectors u and v in R^2 (in standard position), their sum u + v is the vector in standard position along the diagonal of the parallelogram determined by u and v.

Term: Position Vector
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 Definition: To each point A in the place, there corresponds the vector OA, such that the initial point is the origin and the terminal point is A.

Term: Probability Vectors
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 Definition: Vectors with nonnegative components that add up to 1 are called probability vectors.

Term: Projection
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 Definition: If u and v are vectors in R^n and u does not equal 0, then the projection of v onto u is the vector proj (base u) of v defined by proj (base u) of v = [(u * v) / (u * u)]u.

Term: Scalar Triple Product
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 Definition: The scalar triple product of three vectors A, B, and C is denoted [A,B,C] and defined by [A,B,C] = A*(BxC) = B*(CxA) = C*(AxB) = det(ABC), where * denotes a dot product and x denotes a cross product.