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In: Advanced Math

Vectors p1 = [10 2] and p2 = [2 15] are represented in o1x1y1 coordinate frame....

Vectors p1 = [10 2] and p2 = [2 15] are represented in o1x1y1 coordinate frame. Translate o1x1y1 by t = [30 1]T and rotate by 45 to obtain o2x2y2. Is the dot product of p1 and p2 same in o1x1y1 and o2x2y2?

I believe o1x1y1 and o2x2y2 are the pair of vectors before and after the translation and rotation

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