O is the origin and $$\(O P Q R\)$$ is a parallelogram. $$\(S O P\)$$ is a straight line with $$\(S O=O P\)$$. $$\(T R Q\)$$ is a straight line with $$\(T R=R Q\)$$. $$\(S T V\)$$ is a straight line and $$\(S T: T V=2: 1\)$$. $$\(\overrightarrow{O R}=\mathbf{a}\)$$ and $$\(\overrightarrow{O P}=\mathbf{b}\)$$ Show that $$\(P T\)$$ is parallel to $$\(R V\)$$.
Exam No：0580_s20_qp_23 Year：2020 Question No：21(b)
Answer:
\(\overrightarrow{P T}=\mathbf{a}-2 \mathbf{b}\)
\(\overrightarrow{P T}=2 \overrightarrow{R V} \quad\) oe
\(\overrightarrow{P T}=2 \overrightarrow{R V} \quad\) oe
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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