1,252 prompts matching "Multi-part index exam question with a real context"
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Quiz: The direction of a vector as an angle with the x-axis
Act as my SS3 Further Mathematics tutor and quiz me on the direction of a vector as an ang
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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Worked Example: The triangle law of vector addition
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Worked Example: Testing two vectors for perpendicularity
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Worked Example: The powers of i, and the cycle they follow
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Worked Example: Squaring a complex number
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Practice: Why complex roots of a real quadratic come in conjugate pairs
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Worked Example: The quotient rule for differentiation
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Worked Example: Differentiating a bracket raised to a power
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Worked Example: The area between a curve and the x-axis
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Quiz: A rate of change problem about a vessel filling with water
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Worked Example: Power as the rate of doing work
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Worked Example: Finding the first term and the common difference from two given terms
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Practice: Finding a remainder without carrying out the division
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Multiply matrices step by step #3
I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-
Multiply matrices step by step #4
Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m