582 prompts matching "A three-dimensional vector parallel to another"
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Explain Back: What an inverse element is
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Spot My Mistake: Finding the inverse of a given element
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Quiz: An indicial equation that becomes a quadratic in a power
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Spot My Mistake: An indicial equation involving fractional bases
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Common Mistakes: An indicial equation solved by substitution
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Learn: The definition of a logarithm as the index
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Worked Example: Writing an index statement as a logarithm
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Quiz: Writing a logarithm as an index statement
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