Let v1 = <5, -1> and v2 = <-4, 2>.
Compute v1 + v2, v1 – v2, and v2 – v1.
v1 + v2 =
v1 – v2 =
v2 – v1 =
Let
\(\mathbf{v}_1 = < 5, -1 >\) and \(\mathbf{v}_2 = < -4, 2 >\).
Compute \(\mathbf{v}_1 + \mathbf{v}_2\), \(\mathbf{v}_1 – \mathbf{v}_2\), and \(\mathbf{v}_2 – \mathbf{v}_1\).
\(\mathbf{v}_1 + \mathbf{v}_2 =\)
\(\mathbf{v}_1 – \mathbf{v}_2=\)
\(\mathbf{v}_2 – \mathbf{v}_1 =\)
\(\begin{array}{|rcll|} \hline \mathbf{v}_1 + \mathbf{v}_2 &=& < 5, -1 > + < -4, 2 > \\ \mathbf{v}_1 + \mathbf{v}_2 &=& < 5-4, -1+2 > \\ \mathbf{v}_1 + \mathbf{v}_2 &=& < 1, 1 > \\ \\ \mathbf{v}_1 – \mathbf{v}_2 &=& < 5, -1 > - < -4, 2 > \\ \mathbf{v}_1 – \mathbf{v}_2 &=& < 5+4,-1 -2 > \\ \mathbf{v}_1 – \mathbf{v}_2 &=& < 9, -3 > \\ \\ \mathbf{v}_2 – \mathbf{v}_1 &=& < -4, 2 >- < 5, -1 > \\ \mathbf{v}_2 – \mathbf{v}_1 &=& < -4-5, 2+1 > \\ \mathbf{v}_2 – \mathbf{v}_1 &=& < -9, 3 > \\ \hline \end{array} \)