In this video I demonstrate how to derive the rotation matrix formulas used in Euclidean space. Two frames of reference (right angled triangles) are called upon along with a circle and SOH CAH TOA to get the desired results. For more mathematics proofs, visit: https://www.instagram.com/mathematics.proofs To follow me on social media, visit: https://www.twitter.com/tiago_hands https://www.instagram.com/tiago_hands Thanks for watching! Ensure you are subscribed for more content like this. ... https://www.youtube.com/watch?v=3AyiL0oeVaA

In this video In demonstrate precisely why |a-b|²=(a-b)²=|a|²+|b|²-2ab in terms of vectors. This is a must watch video for anyone who is dealing with vectors in A-Level mathematics. The results here can be applied to the cosine rule to formulate the equation ab=|a||b|cosθ. *Link to workings: https://twitter.com/tiago_hands/status/1732372482668065019/photo/1 Thumbnail art: https://pixabay.com/photos/colorful-colors-oil-surface-4990897/ This video was created by: https://www.twitter.com/tiago_hands For more mathematics content, check out: https://www.threads.net/@mathematics.proofs https://www.instagram.com/mathematics.proofs Thanks for watching this video and make sure you have subscribed if you want to see more videos like this! ... https://www.youtube.com/watch?v=wsN8R4I2ufU