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A vector has magnitude (how long it is) and direction:. Two vectors can be multiplied using the Cross Product (also see Dot Product). The Cross Product a × b of two vectors is another vector that is at right angles to both:. And it all
It is a straightforward exercise to show that the cross-product magnitude is equal to the product of the vector lengths times the sine of the angle between them: B.21 (B.16)
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