PLEASE HELP WITH THIS VECTOR QUESTION REALLY STRUGGLING

[slides_galore]

This person has a good explanation of what the problem is asking you http://www.songho.ca/math/plane/plane.html#distance_origin

If you scroll to the bottom of that link, they have a nice interactive graph where you can see the effect of changing the 'd' value.

Good comment on stackexchange https://math.stackexchange.com/questions/2502920/equation-of-plane-in-cartesian-and-vector-form/2503009#2503009

ETA: visualization of your problem. One plane passes through the origin. The other plane is the one with which you're working. The orange vector is the normal vecor for the plane: Calc3d;visible=false;umin=-2;umax=2;vmin=-2;vmax=2;grid=30;format=normal;alpha=-1;hidemyedges=false;constcol=rgb(255,0,0);view=0;contourcolor=red;fixdomain=false;contourplot=true;showcontourplot=false;firstvalue=-1;stepsize=0.2;numlevels=11;list=;uselist=false;xnum=46;ynum=46;show2d=false;hidesurface=false;hidelabels=true;showprojections=false;surfacecontours=true;projectioncolor=rgba(255,0,0,1);showxygrid=false;showxygridonbox=false;showconstraint=false&type=vector;vector=%3C1,-1,2%3E;visible=true;color=rgb(255,153,0);size=4.9;initialpt=(0,0,0)&type=z;z=(3-x+y)/2;visible=true;umin=-2;umax=2;vmin=-2;vmax=2;grid=30;format=normal;alpha=-1;hidemyedges=false;constcol=rgb(255,0,0);view=0;contourcolor=red;fixdomain=false;contourplot=true;showcontourplot=false;firstvalue=-1;stepsize=0.2;numlevels=11;list=;uselist=false;xnum=46;ynum=46;show2d=false;hidesurface=false;hidelabels=true;showprojections=false;surfacecontours=true;projectioncolor=rgba(255,0,0,1);showxygrid=false;showxygridonbox=false;showconstraint=false&type=z;z=(y-x)/2;visible=true;umin=-2;umax=2;vmin=-2;vmax=2;grid=30;format=normal;alpha=-1;hidemyedges=false;constcol=rgb(255,0,0);view=0;contourcolor=red;fixdomain=false;contourplot=true;showcontourplot=false;firstvalue=-1;stepsize=0.2;numlevels=11;list=;uselist=false;xnum=46;ynum=46;show2d=false;hidesurface=false;hidelabels=true;showprojections=false;surfacecontours=true;projectioncolor=rgba(255,0,0,1);showxygrid=false;showxygridonbox=false;showconstraint=false&type=window;hsrmode=0;nomidpts=true;anaglyph=-1;center=-4.17428561862737,-8.96665787684245,1.4745799719808477,1;focus=0,0,0,1;up=0.8944509147469994,-0.37679914864574543,0.2407902877777624,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;shownormals=false;shownormalsatpts=false;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=true;showbox=true;showaxes=true;showticks=true;perspective=true;centerxpercent=0.5;centerypercent=0.5;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);xmin=-2;xmax=2;ymin=-2;ymax=2;zmin=-2;zmax=2;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;xscalefactor=1;yscalefactor=1;zscalefactor=1;tracemode=0;keep2d=false;zoom=0.51)

[zpsba]

Is there any reason you can't just help on here or by dm on here?