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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,101 prompts matching "IGCSE Additional Maths Y10: Why only a one-one function has an inverse — IGCSE E"

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

Quiz: The direction cosines of a vector in three dimensions

Act as my SS3 Further Mathematics tutor and quiz me on the direction cosines of a vector i

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Worked Example: The distance between two points 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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Spot My Mistake: The vector from A to B as the difference of two position vectors

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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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Quiz: The vector equation of the line through two given points

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Explain Back: The resultant of forces given as vectors

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

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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

You are my personal SS3 Further Mathematics tutor. Teach me the real and the imaginary par

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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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