Shape and Space 8
3 marks · EasyIn the diagram below, OABC is a parallelogram. and .
(a)[1 mark]
Write down the column vector .
(b)[1 mark]
Express as a column vector.
(c)[1 mark]
Show that is a parallelogram.
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(a)
(b)
(c) Opposite sides and are equal, so OABC is a parallelogram.
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Marking points
B1 (a) · 1 mark · Correctly subtracts: .
B1 (b) · 1 mark · Adds . (follow-through)
B1 (c) · 1 mark · States or shows that opposite sides are equal in length and direction, or equivalent correct reasoning. (follow-through)
Worked solution
a)
b)
c) The sides and , and and are equal and parallel, so OABC is a parallelogram.