$$\(A B C\)$$ is a parallelogram. $$\(\overrightarrow{O A}=\mathbf{p}\)$$ and $$\(\overrightarrow{O C}=\mathbf{q} .\)$$ $$\(E\)$$ is the point on $$\(A B\)$$ such that $$\(A E: E B=3: 1\)$$. Find $$\(\overrightarrow{O E}\)$$, in terms of $$\(\mathbf{p}\)$$ and $$\(\mathbf{q}\)$$, in its simplest form. $$\(\overrightarrow{O E}=..............\)$$
Exam No：0580_s20_qp_21 Year：2020 Question No：17(b)
Answer:
\(p+\frac{3}{4} \mathbf{q}\)
Knowledge points:
E7.3.1 Calculate the magnitude of a vector
E7.3.2 Represent vectors by directed line segments. (In their answers to questions, candidates are expected to indicate a in some definite way
E7.3.3 Use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors.
E7.3.4 Use position vectors.
Solution:
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