Find the area of a triangle formed by the points

Reference no: EM13901029

1. Using vectors, find the area of a triangle formed by the points P(1, 1, 1), Q(3, 2, 5), and S(5, 7, 9).

2. The components of two vectors at a common point in space are given in cylindrical coordinates as A = 3a ρ + 5a φ - 4a z and B =2a ρ + 4a φ + 3a z . Compute (a) A + B , (b) A · B , (c) A × B , (d) the unit normal to both A and B, (e) the smaller angle between A and B, and (f) the scalar and vector projections of A onto B .

Reference no: EM13901029

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