Question

if ( mathbf{y}=langle-3,-7
angle ) and ( mathbf{z}=langle-9,-9
angle ), find the sum ( mathbf{y}+mathbf{z} ).
( mathbf{y}+mathbf{z}=langlequad,quad
angle )

Explanation:

Step1: Add the x - components

The x - component of \(y\) is \(-3\) and the x - component of \(z\) is \(-9\).
\(-3+(-9)=-3 - 9=-12\)

Step2: Add the y - components

The y - component of \(y\) is \(-7\) and the y - component of \(z\) is \(-9\).
\(-7+(-9)=-7 - 9=-16\)

Answer:

\(\langle - 12,-16
angle\)