1. If a and b denote the vectors OA and OB, indicate on the same diagram...

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1. If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted by a+ b and a- b. Draw on another diagram the vector OE denoted by a +2b. 2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC. 3. OABC is a tetrahedron and OA = a, OB = b and OC = c. The points P and Q are such that OA = AP and 20B = BQ. The point M is the midpoint of PQ. Find (i) AB, (ii) PQ, (ii) CQ. (iv) QM, (v) MB and (vi) OM in terms of a, b and c. %3D 4. ABC is a triangle and P, Q are the midpoints of AB, AC respectively. If AB = 2x and AC = 2y, express the vectors (i) BC, (ii) PQ, (iii) PC, (iv) BQ in terms of x and y. What can you deduce about the directed line-segments BC and PQ? 1. If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted by a+ b and a- b. Draw on another diagram the vector OE denoted by a +2b. 2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC. 3. OABC is a tetrahedron and OA = a, OB = b and OC = c. The points P and Q are such that OA = AP and 20B = BQ. The point M is the midpoint of PQ. Find (i) AB, (ii) PQ, (ii) CQ. (iv) QM, (v) MB and (vi) OM in terms of a, b and c. %3D 4. ABC is a triangle and P, Q are the midpoints of AB, AC respectively. If AB = 2x and AC = 2y, express the vectors (i) BC, (ii) PQ, (iii) PC, (iv) BQ in terms of x and y. What can you deduce about the directed line-segments BC and PQ?

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1 b OE a2b 2 ... View the full answer