# How do you find the magnitude of <2,-6> and write it as a sum of the unit vectors?

##### 1 Answer

Aug 13, 2017

# || << 2, -6 >> || = 2sqrt(10) #

# << 2, -6 >> = 2bb(ul(hat i)) -6bb(ul(hat j)) #

#### Explanation:

The magnitude is given by the vector norm:

# || << 2, -6 >> || = sqrt((2)^2+(-6)^2) #

# " " = sqrt(4+36) #

# " " = sqrt(40) #

# " " = 2sqrt(10) #

And in unit vector form, we have:

# << 2, -6 >> = 2bb(ul(hat i)) -6bb(ul(hat j)) #