The syllabus in section 4.2.8 introduces what you need to know about vectors.

The Bond 1 text book (available through your Google Classroom reference materials) pages 300-302 discusses some of the functions.

For this exercise:

Create a Vector class and in it write functions that:

• adds two vectors together
• performs scalar vector multiplication
• calculates the algebraic dot product of two vectors u and v
• calculates the convex combination of two vectors u and v of the form au + bv where a,b >= 0 and a+b = 1
• calculates the geometric dot product of two vectors u and v
• takes two vectors u and v and returns the angle between the two vectors (perhaps offer a boolean to specify radians or degrees)

Make sure you include adequate testing. Your Vector class should be able to instantiate vectors of different classes.

You might consider creating a bespoke exception to deal with certain situations (e.g. a dot product of vectors of different sizes).