What is the meaning of the scalar product for vectors?
I found an answer at math exchange how to understand dot product is the angle’s cosine? and motivation behind the definition of the dot product.
A recent post by Peter Rowlett at Aperiodical was on the purpose of teaching surds for GCSE. Although I’m sympathetic to those who ask what their use is for in later life I think that they serve a purpose and deserve their place on the curriculum.
Very informative video on Pythagoras and his ideas.
please be aware that you need certain plugins to use geogebra, but here is my sketch of Ex 6J Q4 and Ex 6J Q5 and here is a Word doc with my solutions–Ex6 J Q 4 and 5.