1,044 prompts matching "Finding the angle between two vectors from their dot product"
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Explain Back: The value of alpha minus beta, all squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Explain Back: Writing the answers as ordered pairs
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Show All Working: A simultaneous pair in which the second equation is a circle
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Show All Working: The point of contact when a line touches a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Common Mistakes: Multiplying one polynomial by another
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Worked Example: The division algorithm for polynomials
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WAEC Prep: Dividing by a factor of the form ax plus b
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Final Revision: Writing the result of a polynomial division out in full
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Worked Example: The remainder on dividing by x minus 3
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WAEC Prep: The remainder theorem checked against long division
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