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Senior Secondary

Further Mathematics

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1,305 prompts matching "Surds that cannot be combined at all"

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Learn: The magnitude of a three-dimensional vector

You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen

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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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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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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Explain Back: The dot product of two perpendicular vectors

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Worked Example: Testing two vectors for perpendicularity

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Practice: Deciding whether a point lies on a given line

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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

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

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Quiz: Why the power rule fails for the integral of one over x

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Quiz: The time of flight of a projectile

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Practice: The range of a projectile on level ground

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