The document discusses the definition of ratios and how they relate to vectors. It defines a ratio as the comparison between two quantities that have the same unit. An example shows writing the ratio of 3000 m to 1500 m as 2:1. Ratios are related to vectors because vector problems can use ratios to determine unknown quantities, like using the ratio of 4 PS to SQ to find other vector quantities in a triangle diagram. Mastering ratios is important for understanding vectors since vector concepts apply the ratio concept.

1. Form 2: Ratio, Rate & Proportion Definition of ratio: The ratio of two quantities is the comparison between two quantities which have the same unit.

2. Example: Write the ratio of 3000 m to 1500 m in the form of a:b. Answer: Read as, two is to one.

3. How does ratio relate to vector? Look at the next example so that you can see why ratio is related to vector.

4. Example: In the diagram, PQR is a triangle. T is point on such that 4 PS = SQ . Given that and , determine each of the following vectors in term of a and b . a) b) P S R T Q

5. The solution: a) b) Given that, RATIO CONCEPT IS APPLIED

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7. Point To Be Noted As we can see, the concept of ratio is also used in vector. So, it is very helpful for students if they can master the ratio concept well first so that they do not have much problem later on when dealing with vector.