# 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?

##### 1 Answer

Apr 2, 2016

#### Explanation:

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.