:EXAM-STYLE QUESTIONS The points A and B have coordinates (-2,-3,-4) and (-6, -7,-2) 1.0 respectively. The...

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:EXAM-STYLE QUESTIONS The points A and B have coordinates (-2,-3,-4) and (-6, -7,-2) 1.0 respectively. The line 1, has equation r = a Show that point A lies on 1₁. b Show that AB is perpendicular to 1₁. 10 The figure shows a cuboid in which OA = 2m, OC 5m and OD = 3 m. Take O as the origin and unit vectors i, j and k in the direction OA, OC and OD respectively. a Express these vectors in terms of the unit vectors. i OF ii AG b Calculate the value of D. 3m 5m TE m 0 2m A G C iOFAGI iii Find the scalar product of OF and AG. c Hence find the angle between the diagonals OF and AG. F B co Chapter 12 :EXAM-STYLE QUESTIONS The points A and B have coordinates (-2,-3,-4) and (-6, -7,-2) 1.0 respectively. The line 1, has equation r = a Show that point A lies on 1₁. b Show that AB is perpendicular to 1₁. 10 The figure shows a cuboid in which OA = 2m, OC 5m and OD = 3 m. Take O as the origin and unit vectors i, j and k in the direction OA, OC and OD respectively. a Express these vectors in terms of the unit vectors. i OF ii AG b Calculate the value of D. 3m 5m TE m 0 2m A G C iOFAGI iii Find the scalar product of OF and AG. c Hence find the angle between the diagonals OF and AG. F B co Chapter 12

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Here are stepbystep workings for the examstyle questions 9a Show that point A lies on I1 Given A 234 ... View the full answer