IGCSE Mathematics Worksheet - Vectors-2

Answer the following

1. 

OPQ is a triangle. T is the point on PQ for which PT : TQ = 2 : 1.
= a and = b.

(a) Write down, in terms of a and b, an expression for .

(b) Express in terms of a and b.  Give your answer in its simplest form.

2. 

ABCD is a parallelogram. AB is parallel to DC. AD is parallel to BC. = p        = q

Express, in terms of p and q

(i)

(ii)

3.

= 2b = 2a = 6a

M is the midpoint of PQ and N is the midpoint of OR.

(a) Find the vector in terms of a and b.

X is the midpoint of MN and Y is the midpoint of QR.

(b) Prove that XY is parallel to OR.

4. (a)Express in terms of a and/orb

(i)   

(ii) 

 X is the midpoint of BC.

(b) Express in terms of a and/or b

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