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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,246 prompts matching "Set theory laws: commutative and associative"

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 of a vector as an angle with the x-axis

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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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Practice: A vector of stated magnitude in a given direction

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

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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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Quiz: Subtracting one complex number from another

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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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Quiz: The argument of a complex number

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

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Quiz: Writing a complex number in polar form

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Practice: Converting a complex number from polar form back to a plus bi

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