Question

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

Answer 1

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

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]`