Vector spaces: Vector spaces and linear subspaces
Lines and planes
Determine a parametric representation of the plane in the space through the points #A=\rv{-5,-5,7}#, #B=\left[ -6 , -4 , 7 \right]#, and #C = \left[ -2 , -5 , 6 \right]#.
In the figure below #A#, #B#, and #C# are drawn in black, and the plane is shown in gray.
Enter a parametric representation of the plane in the form \[\rv{a,b,c}+r\cdot \rv{d,e,f}+s\cdot \rv{k,l,m}\] for suitable integers #a#, #b#, #c#, #d#, #e#, #f#, #k#, #l#, #m#. The parameters are #r# and #s#.
In the figure below #A#, #B#, and #C# are drawn in black, and the plane is shown in gray.
Enter a parametric representation of the plane in the form \[\rv{a,b,c}+r\cdot \rv{d,e,f}+s\cdot \rv{k,l,m}\] for suitable integers #a#, #b#, #c#, #d#, #e#, #f#, #k#, #l#, #m#. The parameters are #r# and #s#.
parametric representation: |
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