Explain how the in-product of two vectors relates to the cosine rule.
Understand that 3D systems of axes are not always the same in other cultures (movie: "Independence Day")
We learn how to calculate the angle between two vectors. The formula is given and 2 examples are worked through, with both 2D and 3D vectors. Working is clearly shown.
We learn how to derive the formula for the cross product, or vector product, of two vectors using the determinant of a 3 by 3 matrix.The method is clearly explained and assume no prior knowledge of matrices.
We learn how to calculate the cross product using the determinant of a 3 by 3 matrix, by working through a detailed example. The cross product is also known as the vector product. The method we learn here will allow us to find calculate it without having to memorize the formula.
https://www.youtube.com/watch?v=f036SIfypZo