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

Question

asked Jan 12, 2021 125k views

1 Answer

William Grasel · Answer 1 · 2021-01-16T03:41:27+0000

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

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