1,333 prompts matching "Dividing a line segment in a given ratio"
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Worked Example: The associative law for the product of three matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as
Worked Example: The units of mass, and the SI unit
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Worked Example: The weight of a body as mass times g
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Worked Example: The direction of the resultant of two forces
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Worked Example: The total moment of three parallel forces about one end
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Worked Example: The triangle law of vector addition
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Worked Example: The powers of i, and the cycle they follow
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Worked Example: The quotient rule for differentiation
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Worked Example: The area between a curve and the x-axis
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Add two matrices, 2x2 #1
Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s
Add two matrices, 3x3 #5
Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]
Multiply matrices step by step #1
Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth
Multiply matrices step by step #5
Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth
Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Multi-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Solve a friction and forces of equilibrium problem #2
I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict
Quiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1