Question

Given that u=<5,10>, and z=<7,5>

Answer 1

45

Step-by-step explanation:

Given the vectors u and z below:

`\begin{gathered} u=<5,10> \\ z=<7,5> \end{gathered}`

The resultant vector, w is calculated below:

`\begin{gathered} w=2u+5z \\ =2<5,10>+5<7,5> \\ =<10,20>+<35,25> \\ =<10+35,20+25> \\ w=<45,45> \end{gathered}`

Thus, the x component of the resultant vector w=2u+5z is 45.