Question: 9. (1, 5), (-2, 3) is a spanning set for R2. Express the vector (4, -3) as a linear combination of the vectors in the


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9. (1, 5), (-2, 3) is a spanning set for R2. Express the vector (4, -3) as a linear combination of the vectors in the spanning set. [A3] 10. In quadrilateral ABCD, M and / are midpoints of AB and CD respectively. X is the midpoint of MN. Show that a) AD + BC = 2MN b) XA + XB + XC+ XD= 0 B M A X C N D [T8]11. In R3, the points O, A, C, and D have coordinates O(0,0,0), A(6,0,0), C(0,6,0) and D(0,0,6). The figure shown is a cube. The points P and Q are the midpoints of AE and FG respectively. Calculate the length of PQ . (exact value) [T4] D G E F O C B Your communication mark (5 marks) is based on your general mathematics communication throughout the test. This can include things such as labels, use of equal signs, Vector signs, defining variables, and more. All questions must be completed using the methods shown in class
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