Vector Problem, The diagram shows the origin O,and points A and B, whose position vectors are denoted by [a] and [b] respectively.
(i) Copy the diagram, and show the positions of the points P and Q such that OP=3[a] and OQ=[a]+[b]

(ii) Given that [a]=(2 0) and [b]=(1 1), evaluate the scalar produch OQ.BP

Question

Vector Problem, The diagram shows the origin O,and points A and B, whose position vectors are denoted by [a] and [b] respectively.
(i) Copy the diagram, and show the positions of the points P and Q such that OP=3[a] and OQ=[a]+[b]

(ii) Given that [a]=(2  0) and [b]=(1  1), evaluate the scalar produch OQ.BP

calculator · Answer

Original diagram:
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