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Questions and Answers
What is the approximate shortest distance between points A and B?
What direction is point E with respect to point S?
What is the shortest distance between points J and X?
What is the direction of point H with respect to point Y?
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If another person from point E walks 8m towards the south, what is the shortest distance between the person and point C?
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What is the total distance walked by the person from point B to reach point R?
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What is the primary focus of the study of logic?
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Which type of logic deals with statements that contain variables and predicates?
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What is the importance of direction in problem-solving and navigation?
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What is the unit of measurement for temporal distance?
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What is the logical operator that represents negation?
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What is the importance of distance in understanding spatial relationships?
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Study Notes
Person's Journey
- A person walks 17m west from point B to reach point C.
- Then, they turn left and walk 7m to reach point J.
- From point J, they turn right and walk 15m to reach point X.
- At point X, they turn left and walk 14m to reach point S.
- From point S, they turn left and walk 12m to reach point E.
- At point E, they turn left again and walk 10m to reach point A.
Continuation of Journey
- From point A, they walk 18m after turning right to reach point V.
- Then, they turn right and walk 13m to reach point H.
- At point H, they turn right again and walk 25m to reach point Y.
- Finally, at point Y, they turn left and walk 5m to reach point R.
Important Distances and Directions
- The approximate shortest distance between points A and R is to be determined.
- The direction of point J with respect to point V is to be determined.
- If another person walks 10m east from point Y, the shortest distance between the person and point C is to be determined.
Logic
- Systematic study of principles of valid inference and reasoning
- Involves use of language, symbols, and rules to express and analyze arguments
- Types of logic: • Propositional logic: deals with statements that can be true or false • Predicate logic: deals with statements containing variables and predicates • Syllogistic logic: deals with categorical propositions and syllogisms
- Logical operators: • NOT (negation) • AND (conjunction) • OR (disjunction) • IF-THEN (conditional) • IF-AND-ONLY-IF (biconditional)
Direction
- Ability to understand and follow directions
- Types of direction: • Spatial direction: understanding left, right, up, down, and other spatial relationships • Temporal direction: understanding before, after, and other temporal relationships
- Importance of direction: • Essential for problem-solving and navigation • Helps in understanding and following instructions • Improves cognitive mapping and spatial awareness
Distance
- Measurement of amount of space between two or more objects
- Types of distance: • Physical distance: measured in units such as meters, feet, or inches • Temporal distance: measured in units such as seconds, minutes, or hours
- Importance of distance: • Essential for understanding spatial relationships and navigation • Helps in problem-solving and estimation • Improves cognitive mapping and spatial awareness
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Description
A person's journey is described with directions and distances. Calculate the final position and other aspects of the journey.
