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Last updated at May 29, 2018 by Teachoo
Transcript
Supplementary Example 5 Show that the four points with position vectors 6 đ â 7 đ, 16 đ â 19 đ â 4 đ, 3 đ â 6 đ and 2 đ + 5 đ + 10 đ are not co-planar Let points be A = 6 đ â 7 đ B = 16 đ â 19 đ â 4 đ C = 3 đ â 6 đ D = 2 đ + 5 đ +10 đ Four points A, B, C, D are coplanar if the three vectors đ´đĩ , đ´đļ and đ´đˇīˇ¯ are coplanar. i.e. đ¨đŠīˇ¯, đ¨đĒ, đ¨đĢ = 0 = 10 100+72+12 â60â24â4 â72+40 = 10 172+12 â84â4 â32 = 1720 â 1008 + 128 = 840 â´ đ¨đŠīˇ¯, đ¨đĒ, đ¨đĢ â 0 Therefore, points A, B, C and D are not coplanar.
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