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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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696 prompts matching "Applying two index laws inside one expression"

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 coordinates of a point in three dimensions

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Quiz: The direction cosines of a vector in three dimensions

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Learn: The magnitude of a three-dimensional vector

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Quiz: The direction of a vector as an angle with the x-axis

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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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Explain Back: The resultant of forces given as vectors

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Spot My Mistake: The equilibrium condition written in vector form

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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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Quiz: The product of a complex number and its conjugate

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Quiz: The argument of 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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Quiz: Writing a complex number in polar form

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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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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