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Questions and Answers
What is an element of $\wedge ^{k}V$ called?
What is an element of $\wedge ^{k}V$ called?
- Scalar product
- Vector sum
- k-blade (correct)
- Multivector sum
What does the expression $v\wedge v$ equal to for all $v \in V$?
What does the expression $v\wedge v$ equal to for all $v \in V$?
- 0 (correct)
- 1
- $-v$
- v
What is the exterior algebra of a vector space V denoted as?
What is the exterior algebra of a vector space V denoted as?
- $\wedge V$ (correct)
- $\wedge ^{3}V$
- $\wedge ^{k}V$
- $\wedge ^{2}V$
What property does the exterior product $\wedge$ satisfy?
What property does the exterior product $\wedge$ satisfy?
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What is the name given to elements in $\wedge kV$?
What is the name given to elements in $\wedge kV$?
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What is the result of rotating a point (x, y) by an angle θ counterclockwise about the origin?
What is the result of rotating a point (x, y) by an angle θ counterclockwise about the origin?
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What is the effect of rotating a vector v by an angle θ using a 2x2 rotation matrix R?
What is the effect of rotating a vector v by an angle θ using a 2x2 rotation matrix R?
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What is the determinant of a 2x2 rotation matrix R?
What is the determinant of a 2x2 rotation matrix R?
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