Two vectors are given by a = 3.3 x - 6.4 y and b = -17.8 x + 5.1 y. What is the magnitude of the vector a + b?
Split up the two vectors into their
Which gives a resultant vector of
To find the magnitude of this vector, use Pythagoras theorem. You can imagine the
Substituting the values of
which is the magnitude or length of the resultant vector.