\fEg.2: Show that the set of vectors {[2,1]and[ 3, 1]} is a spanning set of R2. Recall: Collinear vectors are scalar multiples of one another. Coplanar vectors are vectors that lie on the same plane. If 3 vectors are coplanar, then the 3 vectors can be expressed as linear combinations of each other. Eg.3: Determine if 3 = [5,0,6] and Z: [3,2,0]and Z: [6,1,9]are coplanar. A steel cable 14 m long is suspended between xed points 10 m apart horizontally. The cable supports a mass of 50 kg at a point 6 m from one end. Determine the tension in each part of the cable. Mark: 7 Calculate the parallelogram with sides; A = (-6,4,-12), and B = (9,-6,18). Mark: 7 The cosine angle between U and V is 4/21. Find p, where U = 6i + 3j 2k, and V=2i+pj4k. Find the area of the triangle with the given vertices; (7,3,4), (1,0,6), (4,5,2) Mark: 4 Find the work done by a SO-N force acting in the direction of the vector (2,1,5), which moves a object from A (2,1,5) to B (3,-1,2), where the distance is in meters