Joined December 2025
- Tweets 85
- Following 2
- Followers 43
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5 Photos and videos
Geometry Insights retweeted
New Youtube Video:
How to Generate a Parallelogram in ℝ³: P = A u(B − A) v(C − A), 0 ≤ u ≤ 1, 0 ≤ v ≤ 1
youtu.be/TfNkvxbBtOo
#vectors #parallelogram
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Geometry Insights retweeted
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Geometry Insights retweeted
New Youtube Video:
Deriving an Alternative Equation of a Circle Using Thales's Theorem & the Dot Product
youtu.be/SPVdBOVl8OQ
#dotproduct #vectors #thalestheorem
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Geometry Insights retweeted
New Youtube Video:
Proof That (AB)⁻¹ = B⁻¹A⁻¹ for Non-Singular Matrices
youtu.be/FxrqKnDD4iE?si=gfIf…
#matrices #matrixalgebra #vectors
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Proof that (AB)⁻¹ = B⁻¹A⁻¹.
This proof starts from the definition of a matrix inverse and uses only associativity and the identity matrix to show rigorously why the order of the inverses must be reversed.
geometryinsights.wordpress.c…
#mathematics #matrices #mathproofs
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Geometry Insights retweeted
New Youtube Video:
How to Put a Quadratic into Vertex Form | f(x) = ax² bx c → a(x b/(2a))² c − b²/(4a)
youtu.be/lu59nyhlnhU?si=GN88…
#vertexform #quadraticgraphs
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Geometry Insights retweeted
Desmos has released its new Notebook feature.
This is another game changer in modern mathematics.
You can see some examples of the Notebook feature in action right here:
desmos.com/gallery/1b48bb5c-…
#graphing #desmos
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Geometry Insights retweeted
Differentiating vector-valued functions in ℝ³ from first principles.
The derivative of
C(t) = ⟨x(t), y(t), z(t)⟩
is obtained componentwise:
C′(t) = ⟨x′(t), y′(t), z′(t)⟩
giving the instantaneous velocity vector and tangent direction to the curve.
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Geometry Insights retweeted
How to Derive the Tangent to a Curve in ℝ³: C′(t) = ⟨x′(t), y′(t), z′(t)⟩
youtu.be/QIrCvfODQoU?si=pxhw…
#differentiation
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Geometry Insights retweeted
The surface area of a square based pyramid derived from scratch.
#gcsemaths #mathematicsproofs
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Geometry Insights retweeted
How To Find the Normal to a Curve at x = a | Formula Proof: h(x) = (−1/f′(a))(x − a) f(a)
#differentiation
youtu.be/602EWgSM_h4?si=WoOc…
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Geometry Insights retweeted
New Youtube Video:
How to Derive the Tangent Line for a Curve in ℝ²: y = f′(a)(x − a) f(a)
youtu.be/w2UmLUKyWWw?si=4-PY…
#differentiation #calculus
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Geometry Insights retweeted
New Youtube Video:
How to Derive Vector Projection: proj_A B = ((A · B)/|A|²)A
youtu.be/HxtThcgsGTQ?si=k02F…
#vectors #computergraphics
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Geometry Insights retweeted
New Youtube Video:
How to Quickly Derive the Cosine Rule, a²=b² c²-2bccosθ, Pure Mathematics
youtu.be/M-i2mTKBPyc?si=4V0n…
#cosinerule #trigonometry
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Geometry Insights retweeted
New Youtube Video:
Vectors (Dot Product): How to Derive A.B=|A||B|cosθ in ℝ² From First Principles
youtu.be/Tx5x8MA-Dl8?si=xptn…
#dotproduct #vectors
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Geometry Insights retweeted
Now making Youtube videos once again...
How to Find the Inverse of a 2x2 Matrix, Further Pure Mathematics 3
Quick Memorisation Technique
youtu.be/lElLEEIO_hs?si=Ah6P…
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Geometry Insights retweeted
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Geometry Insights retweeted
One of the hardest GCSE vector problems solved.
The diagram shows triangle OAB.
OPC and APD are straight lines.
OA = a
OB = b
OD : DB = 1 : 2
AC : CB = 3 : 1
Work out the ratio OP : PC.
#vectors #alevelmaths #geometry
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