Hide Transcribed Text

$($a$)$ What is the sum of the following four vectors in unit$-$vector notation? For that sum, what are $($b$)$ the magnitude, $($c$)$ the angle in degrees, and $($d$)$ the angle in radians? Positive angles are counterclockwise from the positive direction of thexaxis; negative angles are clockwise. $\backslash [\backslash$begin$\{$array$\}\{$l$\}\backslash$vec$\{$E$\}$: $6\mathrm{.}00\backslash$mathrm$\{$~m$\}\backslash$text $\{$ at $\}+0\mathrm{.}900\backslash$mathrm$\{$rad$\}\backslash \backslash \backslash$vec$\{$F$\}$: $5\mathrm{.}00\backslash$mathrm$\{$~m$\}\backslash$text $\{$ at $\}-75\mathrm{.}0^\{\backslash$circ$\}\backslash \backslash \backslash$vec$\{$G$\}$: $4\mathrm{.}00\backslash$mathrm$\{$~m$\}\backslash$text $\{$ at $\}+1\mathrm{.}20\backslash$mathrm$\{$rad$\}\backslash \backslash \backslash$vec$\{$H$\}$: $6\mathrm{.}00\backslash$mathrm$\{$~m$\}\backslash$text $\{$ at $\}-210^\{\backslash$circ$\}\backslash$end$\{$array$\}\backslash ]\backslash$begin$\{$tabular$\}\{$l$|$l$\}($a$)$ Number &$$i$+\backslash \backslash ($b$)$ Number & Units$\backslash \backslash ($c$)$ Number & Units $\backslash \backslash ($d$)$ Number & Units $\backslash$end$\{$tabular$\}$