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MCV4U Unit 7, Vector Projection, Dot Product, Cross Product - Coggle…

- - - - This can be useful in finding the angle between 2 vectors
        
        Therefore also useful in cosine law when finding the 3rd side of a triangle
        
        Another application is Work, from physics
        
        Work = displacement • distance
        
        Work is a magnitude and if found using the dot product of the displacement and distance vectors
  - - - The dot product is 0 if the vectors are perpendicular (90 degree angle between them and cosx = 0)
- - - - Fingers = pointing in the direction of 1 vector
        Thumb = pointing in the direction of the other vector.
        Palm = direction of resulting perpendicular vector
        
        Force = (charge)(speed)(magnetic field)sinx
        
        Math version: F = q(v x b)
        
        Where v is the velocity vector and b is the magnetic field vector
  - - - Since the cross product vector is perpendicular, the dot product between it and the 2 original vectors will be 0
        
        Application of the cross product: The area of a parallelogram formed by 2 vectors
        
        Area parallelogram = |a x b|
        
        Area of the triangle = |a x b| / 2