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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Writing the answers as ordered pairs"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: The magnitude of a three-dimensional vector

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Practice: The magnitude of the sum of two vectors

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Worked Example: Finding the unit vector in the direction of a given vector

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Learn: The unit vectors i, j and k

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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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Learn: Subtracting one vector from another

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Explain Back: The dot product of two perpendicular vectors

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Learn: The angle between a vector and one of the axes

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Practice: Deciding whether a point lies on a given line

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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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Practice: The sum of a complex number and its conjugate

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Practice: The argument of a complex number in the second or third quadrant

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Practice: The addition of complex numbers shown on an Argand diagram

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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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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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