Answer:
see explanation
Step-by-step 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[tex]\left[\begin{array}{ccc}2\\3\\\end{array}\right][/tex] + 3[tex]\left[\begin{array}{ccc}-4\\1\\\end{array}\right][/tex] + 4[tex]\left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}4\\6\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}-12\\3\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}12\\8\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}4-12+12\\6+3+8\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}4\\17\\\end{array}\right][/tex]
