## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 8.[Maximum mark: 161The following diagram shows the cuboid (rectangular solid) OABCDEFG, where O isthe origin, and OA=4i, OC=3j , OD=2k(i)(ii)(iii)Find 0BFind OFShow that AG—4i + 3j + 2k[5 marks](b)(c)Write down a vector equation for(i) the OF;(ii) the line AG.Find the obtuse angle between the lines OF […]

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 51In the following diagram, OP= p, OQ=q and PT-—PQdiagram not to scaleExpress each Of the following vectors in terms Of p and q,(a)(b)OT[21[31

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 7]The following diagram shows the parallelogram ABCD.ALet AB=p and q. Find each of the following vectors in terms of p and/or q.(a)(b)(c)CBCDDB[2][2]

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]Consider the vectors a =(a) Find(i) 211 + b ,(ii) 12a + bl _Let 2a+b+c=O(b) Find c.[4 marks], where O is the zero vector.[2 marks]

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 4.[Maximum mark: 61The following diagram shows two perpendicular vectors u and v.(a)(b)Let w = . Represent w on the diagram above.5Given that u = 2 and v = n , where n e Z , find n.3[2][41

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 16]4Let OA(a)(i)0 and 0B4Find AB.Find ABThe point C is such that AC(b) Show that the coordinates of C are (—2 , 1 , 3).The following diagram shows triangle ABC. Let D be a point on [BCI, with acuteangle ADC = O.(c)(d)Write down an expression […]

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: 3.[Maximum mark: 51The three vectors a , b and c are given by—3×4, c — —7 where x, y e R.6(b)If a +2b —c O , find the value Of x and Of y.Find the exact value Of I a + 2b I.[3 marks][2 marks]

## 3.12 Introduction to Vectors. (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: 12.[Maximum mark: 14]The position vectors Of the points A, B and C are a, b and c respectively, relative to anorigin O. The following diagram shows the triangle ABC and points M, R, S and T.Adiagram not to scaleM is the midpoint Of [ACI.R is a […]

## 3.13 Scalar Product of Vectors (DOT product). (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 71Let v —3i+4j+k and The vector v + pw is perpendicular to w.Find the value Of p.

## 3.13 Scalar Product of Vectors (DOT product). (Not for AA SL)

Calculator Allowed: No Question Answer Transcription of this question: 8.[Maximum mark: 131Consider the points A(l , 5, 4), B (3, I , 2) and D (3, k, 2), with (AD) perpendicular to (AB).(a) Find(ii) AD , gi ving your answer in terms Of k.(b) Show that k=7.The point C is such that BC AD(c)(d)Find the […]