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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Why does completing the square work"

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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Learn: The unit vectors i, j and k

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Spot My Mistake: The vector from A to B as the difference of two position vectors

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Learn: Subtracting one vector from another

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Practice: The dot product as the magnitudes times the cosine of the angle

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Worked Example: Testing two vectors for perpendicularity

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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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Spot My Mistake: The equilibrium condition written in vector form

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Learn: The real and the imaginary parts of a complex number

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Spot My Mistake: Dividing one complex number by another using the conjugate

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Worked Example: Squaring a complex number

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WAEC Prep: The conjugate of a complex number, and how it is written

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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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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

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Learn: The cube roots of unity

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Learn: Choosing between the product rule and the quotient rule

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