Question

I am very stuck with this

Answer 1

see explanation

Explanation:

To multiply the vector by a scalar, multiply each of the elements by the scalar.

To add 3 vectors add the corresponding elements of each vector

2a + 3b + 4c

= 2
`\left[\begin{array}{ccc}2\\3\\\end{array}\right]` + 3
`\left[\begin{array}{ccc}-4\\1\\\end{array}\right]` + 4
`\left[\begin{array}{ccc}3\\2\\\end{array}\right]`

=
`\left[\begin{array}{ccc}4\\6\\\end{array}\right]` +
`\left[\begin{array}{ccc}-12\\3\\\end{array}\right]` +
`\left[\begin{array}{ccc}12\\8\\\end{array}\right]`

=
`\left[\begin{array}{ccc}4-12+12\\6+3+8\\\end{array}\right]`

=
`\left[\begin{array}{ccc}4\\17\\\end{array}\right]`