M1 for = 3a + = 2a + 2b oe OX ‘2b – a’ Question 2) Or M1 for a correct vector statement for b) i) = 6b 3a)’ + 2b) oe OX – ‘(6b – (= 2a eg. or ii) C1 for =×5(a + b) = 2(a + b) = OY OX is a multiple of , so they are parallel. They M1 for or = a’) or or = a’) 2(‘b – 3(‘b – also share a common point . Question 2) (may be seen as part of a vector equation BUT a) or 2(b a) or a)’ or 3(b a) or – ‘2(b – – ‘3(b – b) 1 mark: a)’ by itself does not score M1) 1 mark: Simplifying to A1 2b or 2b a a + – – 1 mark: or Exercise 4 Question 1) , . is a multiple of . is a multiple of , so parallel. They share a common point . Question 3) B1 b a or a + b – – a)
M1 for OX = 3a + ‘2b – a’ = 2a + 2b oe Or OX = 6b – ‘(6b – 3a)’ (= 2a + 2b) oe C1 for OY =×5(a + b) = 2(a + b) = OX Question 2) a) or b) 1 mark: 1 mark: Simplifying to 1 mark: or Question 3) a) B1 b – a or – a + b b) M1 for a correct vector statement for eg. or M1 for or = 2(‘b – a’) or or = 3(‘b – a’) (may be seen as part of a vector equation BUT 2(b – a) or ‘2(b – a)’ or 3(b – a) or ‘3(b – a)’ by itself does not score M1) A1 2b – a or – a + 2b Exercise 4 Question 1) , . is a multiple of . is a multiple of , so parallel. They share a common point . Question 2) i) ii) is a multiple of , so they are parallel. They also share a common point .