सिद्ध कीजिए की सदिश `oversetto a-2oversettob +3oversetto c,-2oversetto a +3oversetto b -4oversetto c ` तथा `oversetto a- 3oversettob+5oversettoc ` समतलीय है|
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माना `oversetto u = oversetto a -2oversetto b +3oversetto c,” ” oversetto v =-2 oversetto a +3oversetto b -4oversetto c `
` ” ” oversetto w =oversetto a -3oversetto b +5oversetto c `
तब `[vecu vecv vecw]=|{:(,1,-2,3),(,-2,3,-4),(,1,-3,5):}|`
` ” “= 1 [15-12 ]-(-2) [-10+ 4] +3 [6-3]`
` ” ” =3-12 +9 12-12=0`
`[overset to u , overset to v,overset to w ]=0 `
अतः ` oversetto u , oversetto v,oversetto w ` समतलीय है|