1,332 prompts matching "Combining several index laws in one simplification"
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Quiz: The direction cosines of a vector in three dimensions
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Worked Example: The distance between two points in three dimensions
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Worked Example: Finding the unit vector in the direction of a given vector
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Worked Example: The position vector of the midpoint of AB
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WAEC Prep: The dot product worked out from components
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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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Learn: The angle between a vector and one of the axes
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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
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Spot My Mistake: The equilibrium condition written in vector form
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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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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
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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem
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Explain Back: Forming a quadratic equation with given complex roots
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Explain Back: Differentiating tan x
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Learn: Choosing between the product rule and the quotient rule
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