3 - Representation of vectors and second order tensors in a coordinate system
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Practice Questions
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What is a vector?
💡 Hint: Think about direction and size.
How does a vector change when represented in different coordinate systems?
💡 Hint: Consider how we express it mathematically.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the representation of a vector depend on?
💡 Hint: Consider how a position changes depending on your view.
The stress tensor is a type of what?
💡 Hint: Think about the definition of tensors versus scalars.
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Challenge Problems
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Given two coordinate systems and a defined vector, derive its representation in the new system and discuss the implications.
💡 Hint: Think about angles and coordinate direction changes.
If you had a cube and measured stress on all faces, how would you calculate the stress tensor from these measurements?
💡 Hint: Use the equations for normal σ and shear τ components.
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