Problem $4.$ Consider the three points $,,$ and $$ in a $3$D Euclidean space, where $=(4,2,9),=$

$(7,0,6)$ and $=(3,5,0).$ a$)$ Find the length of the following vectors by hand: starting at point $$

and ending at point $(=),$ starting at point $$ and ending at point $(=).$ b$)$ Verify your

results using MATLAB. c$)$ Calculate the following using MATLAB: i$),$ ii$)\backslash$times $,$ and iii$)\backslash$times $2.$

Extra $+1$: Prove that $\backslash$times $2=22()2.$