Let 0 = (0,0,0), i = (1, 0, 0), j = (0, 1, 0), k = (0,0,1) be vectors in R³. Given in the figure below a cube with an edge length of 3 units. E F D 口 B У (a) Describe all points (x, y, z) in the cube. (b) Let P, Q, R, S, T, U be the centers of the faces AGFE, GBDF, DCEF, OAEC, OAGB, OBDC respectively, write the vectors OP, OQ, OR, OS, OT, OU, as a linear combination of i, j, and k. (c) Find the coordinates of the center point of the cube.

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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