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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,154 prompts matching "Checking a factorisation by expanding it again"

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WAEC Prep: A unit vector, and what makes it a unit

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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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Practice: A vector of stated magnitude in a given direction

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WAEC Prep: The position vector of a point dividing a line in a ratio

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WAEC Prep: The distance between two points from their position vectors

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WAEC Prep: The position vector of a point relative to the origin

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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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WAEC Prep: The parallelogram law of vector addition

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Worked Example: The triangle law of vector addition

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WAEC Prep: The dot product of a vector with itself

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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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WAEC Prep: Three forces in equilibrium written as vectors

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WAEC Prep: Writing a force as a vector in i and j form

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Spot My Mistake: The equilibrium condition written in vector form

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WAEC Prep: Writing the square root of minus nine in terms of i

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WAEC Prep: The imaginary unit i, and why i squared is minus one

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

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