Given the points M(0.1, −0.2, −0.1), N(− 0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find (a) the vector RMN; (b) the dot product RMN · RMP; (c) the scalar projection of RMN on RMP; (d) the angle between RMN and RMP.
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