Question: thank you so much 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: 1. The vector RMN 2. The dot

thank you so much

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: 1. The vector RMN 2. The dot product RMN . RMP 3. The scalar projection of RMN On RMP 4. The angle between RMN and RMP Answers: 1. -0.3ax + 0.lay +0.4a, 2. 0.01 3. 0.0243 4. BRR = 87.2736 Follow-up: Is the scalar projection of Rux On Rup the same as the scalar projection of Rup On RMN? 1. Find the vector component of F = 10ax - 6dy + 5az that is parallel to G = 0.1ax + 0.2ay + 0.3az. 2. Find the vector component of F that is perpendicular to G but lies on the same plane as the two vectors. 3. Find the vector component of G that is perpendicular to F but lies on the same plane as the two vectors. Answers: 1. 0.9286d, + 1.8571ay + 2.7857az N 9.0714dy - 7.85716dy + 2.2143az 3. 0.0193ay + 0.2484ay + 0.2596az

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