1. (a) Draw the vectors AB = and BC = 4 on a squared paper. Hence...

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1. (a) Draw the vectors AB = and BC = 4 on a squared paper. Hence or otherwise, find the vector AC 4 Marks (b) If the diagram ABCD is a parallelogram, write the vector OD, hence or otherwise find the length of the vector OD з Marks 2. R P PQRS is an isosceles trapezium. PQ and SR are parallel with PQ = 2RS, PQ= 2p, QR = q. X lies on QR is such that QX : XR =1:2. Y lies on PQ extended such that PQ : QY = 1:1. Show 5 Marks that the points P, Q and Y are collinear. 3. The diagram shows the points A, B, and C relative to 0, such that OA = 2a – b, oč = -a + 4b, OB = 4a + 5b. Land N are the midpoints of AB and AC respectively. M is a point such that LM =-LC. %3D N> A (a) Find the vectors OL, OM and ON 3 Marks (b) Show that the point B, M and N lie on the same straight line. Hence or otherwise state the ratio BM : MN. 4 Marks (c) Pis a point on BN produced such that BP = pBN. If PC is parallel to AM. Find the value of p. 5 Marks B. 1. (a) Draw the vectors AB = and BC = 4 on a squared paper. Hence or otherwise, find the vector AC 4 Marks (b) If the diagram ABCD is a parallelogram, write the vector OD, hence or otherwise find the length of the vector OD з Marks 2. R P PQRS is an isosceles trapezium. PQ and SR are parallel with PQ = 2RS, PQ= 2p, QR = q. X lies on QR is such that QX : XR =1:2. Y lies on PQ extended such that PQ : QY = 1:1. Show 5 Marks that the points P, Q and Y are collinear. 3. The diagram shows the points A, B, and C relative to 0, such that OA = 2a – b, oč = -a + 4b, OB = 4a + 5b. Land N are the midpoints of AB and AC respectively. M is a point such that LM =-LC. %3D N> A (a) Find the vectors OL, OM and ON 3 Marks (b) Show that the point B, M and N lie on the same straight line. Hence or otherwise state the ratio BM : MN. 4 Marks (c) Pis a point on BN produced such that BP = pBN. If PC is parallel to AM. Find the value of p. 5 Marks B.

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Draw the vectors given vectors can be written as 5i2j and i4j where i j k are unit vectors Vector ar... View the full answer