Solve the following vector operations. You may do them by hand or use MATLAB. If you use MATLAB, transcribe your code as your "work".

a$.\{2i+3k\}m\{6i+2j-k\}N$

b$.\{i-1\mathrm{.}5j\}*\{2\mathrm{.}3i-3j+4k\}kN$

c$.\{9I+2J-3k\}mm[\{I+J-2k\}+\{-4I-4J+8k\}]N$

d$.\{-j+5k\}*[\{i+3j+2k\}m\{2i+2k\}N]$