Question

Vector A = (-2, 2.4) and vector B = (4, 2.3). Find the magnitude of the component of A perpendicular to the direction of B

Answer 1

Let the direction of the vector is denoted by . And so, the magnitude B of the vector is defined by

And the components of the vector along and perpendicular to are written as

Where, the component vector is along the direction and the component vector is perpendicular to the direction . So, we can write
  
And so, we can write
  
And so, we get
  
  
So, the mod squared of the perpendicular component is given by
  
  
  


And now, given the vectors

we compute
  
And so, we have