Question

If vector a = <1.5, -3> and vector b = <-2.25, -5>, what is the resulting vector for 2b − a?

Answer 1

Answer:

$\left[\begin{array}{ccc}-6\\-7\end{array}\right]$

Step-by-step explanation:

We are given the vectors;

a= $\left[\begin{array}{ccc}1.5\\-3\end{array}\right]$   and b = $\left[\begin{array}{ccc}-2.25\\-5\end{array}\right]$

We are required to determine the resulting vector 2b - a

Therefore;

$2b - a = 2\left[\begin{array}{ccc}-2.25\\-5\end{array}\right] - \left[\begin{array}{ccc}1.5\\-3\end{array}\right]$

          $=\left[\begin{array}{ccc}-4.5\\-10\end{array}\right] - \left[\begin{array}{ccc}1.5\\-3\end{array}\right]$

By subtracting the corresponding terms, we get;

         $=\left[\begin{array}{ccc}-6\\-7\end{array}\right]$

Therefore; the resulting vector is $\left[\begin{array}{ccc}-6\\-7\end{array}\right]$