O Alfred knows his home is about to be over-runto dig a hole in his field and hide it there.O Draw sketch diagrams to show these vectors21otoev rlti Write, in component form, the vector ABrepresented by the line segments joining thefollowing points.Jeops ste d bns o12n4*no nonub sdi as ini s2 3ononRemember a line segmentis part of a line joining twoparticular points. Draw adiagram to help you.dto sbmingso urb en sm hg dos mot innom3i) A(2,3) to B(4, 1)2lii) A(4, 1) to B(2, 3)(ii) A(-2,–3) to B(4, 1)e341 2(Iv A(-2,3) to B(-4, 1)Figure 12.9ogmo) a uo allas isuov lls son oh slnoih(v- A(3, 2) to B(1, 4)(vil A(-3, -2) to B(-1, –4)hieves. He has a box of money and decidesHe plans to run away but to tell his daughterErhel where the money is so that she can goback later and dig it up. How many pieces ofinformation does Alfred need to give Ethel?6 A triangle is formed by the pointsA(1, 4), B(4, 7) and C(1,7).(i) (a) Find the vectors representing the threemedians of the triangle.PSA median joins one vertex to themidpoint of the opposite side.A Draw diagrams to show these vectors and thenwrite them in magnitude-direction form.Use your calculator tocheck your answers.(b) Find the magnitude of each median.number Give your answers in the form abwhere a and b are constants.When a vector is multidirection renias the saThe point X(2, 6) is the centroid of thetriangle.(ii) Find AX. Give your answer in the form aThe vector 2a in Fi| 3i + 4jisito Srlb 1s hdried no i T0G where a and b are constants.nioj li) Show that X divides each of the threemedians in the ratio 2:1.同) 3i – 4j(2,E) miog srf o nigno arlsFigure 12.12Jad V ao UoY ic+ i Ps O PQ and R are points on a plane. Investigatewhen the vector inwhether these situations are possible and, if so,b what can be said about the position of R.liv)3mimber(v)1 PR:(ii) The direction of PR is the same as theand then write them in component form.1 (10, 45°)li (5, 360°)M (10, 135°)(imi) Both PR =QR and the direction of PR istheto 10sfmoi insirog i nwoldirection of QR.li) (5,210°)liv) (10, 270°)ative o vect16q o 21 UOY Othe same as the direction of QR.ail sda(vi) (5,330°)opposite direc249Chapter 12 Vectors

Name: O Alfred knows his home is about to be over-runto dig a hole in his f
Uploaded: 2024-03-05T11:52:21.000Z
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Description: O Alfred knows his home is about to be over-runto dig a hole in his field and hide it there.O Draw sketch diagrams to show these vectors21otoev rlti Write, in component form, the vector ABrepresented by the line segments joining thefollowing points.

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