vector: Quick Facts

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vector parallelogram for addition and subtraction

right-hand rule for vector cross product

coordinate vector addition

parallelogram law for addition of vectors

A diagram with labeled vector illustrations. Panel A shows vector addition with two green arrows A and B forming a parallelogram, and their sum C as a red diagonal. Panel B shows vector subtraction, with A and negative B forming resultant D. Panel C demonstrates vector components using angles and projections. Panel D uses the right-hand rule with thumbs to show the direction of the cross product E = A x B and its opposite, -E = B x A.

components of a vector

resolution of a vector into perpendicular components

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direction component magnitude tangent vector vector operations vector bundle scalar multiplication vector current vector space gradient foundations of mathematics probability and statistics numerals and numeral systems matrix function fractal graph derivative algorithm error

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Equations written on blackboard

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