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Some quantities have direction and magnitude, others have magnitude only, and this understanding is the key to correct manipulation of quantities. This sub-topic will have broad applications across multiple fields within physics and other sciences.
Nature of science:
Models: First mentioned explicitly in a scientific paper in 1846, scalars and vectors reflected the work of scientists and mathematicians across the globe for over 300 years on representing measurements in three-dimensional space. (1.10)
Understandings:
Vector and scalar quantities
Combination and resolution of vectors
Applications and skills:
Solving vector problems graphically and algebraically
Guidance:
Resolution of vectors will be limited to two perpendicular directions
Problems will be limited to addition and subtraction of vectors and the multiplication and division of vectors by scalars
Data booklet reference:
International-mindedness:
Vector notation forms the basis of mapping across the globe
Theory of knowledge:
What is the nature of certainty and proof in mathematics?
Utilization:
Navigation and surveying (see Geography SL/HL syllabus: Geographic skills)
Force and field strength (see Physics sub-topics 2.2, 5.1, 6.1 and 10.1)
Vectors (see Mathematics HL sub-topic 4.1; Mathematics SL sub-topic 4.1)
Aims:
Aim 2 and 3: this is a fundamental aspect of scientific language that allows for spatial representation and manipulation of abstract concepts
written description / video link /
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