MATH1002 Lecture Notes - Lecture 2: Dot Product, Cross Product, Unit Circle

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2. 1 the dot product scalar product ut et ftpin) Must have the same number otherwise undefined of components tiomoproarnffarehtor@reversed. do product same is the. 2. 3 length of a vector in pi if z= In general for x=fyg ) , length or norm in n dimensions. A vector of length 1 . eg ei~=[ to ] Normalising a vector finding the in the same unit vector direction. "s a k , ] the] direction of v~ eg dot product. A similarly , for triangles at=b2tc w~=u~ - vn by> b. If the it z angle are non zero vectors bleween it and. I in rn then is given by ces. I we in rn denote are orthogonal ( or perpendicular ) it tv. The zero vector is orthogonal to every vector. Irn with as it-to the projection of vector. Cross at product ( only in e= [ kg] , t=fy;]

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