1,019 prompts matching "A set closed under one operation but not another"
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Worked Example: The position vector of the midpoint of AB
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Worked Example: The triangle law of vector addition
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Explain Back: The dot product of two perpendicular vectors
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Worked Example: Testing two vectors for perpendicularity
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Explain Back: The resultant of forces given as vectors
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Worked Example: The powers of i, and the cycle they follow
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Learn: The real and the imaginary parts of a complex number
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Worked Example: Squaring a complex number
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Explain Back: The locus of a complex number at a fixed distance from a point
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Explain Back: Raising a complex number to a power by de Moivre's theorem
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Learn: The cube roots of unity
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Explain Back: Forming a quadratic equation with given complex roots
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Explain Back: Differentiating tan x
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Worked Example: The quotient rule for differentiation
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Learn: Choosing between the product rule and the quotient rule
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Worked Example: Differentiating a bracket raised to a power
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Learn: Differentiating sin of a multiple of x
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Explain Back: The constant of integration, and why it appears
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Learn: Integrating a polynomial term by term
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