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Show that the four points with position vectors: 4î + 8ĵ + 12k̂, 2î + 4ĵ + 6k̂, 3î + 5ĵ + 4k̂ and 5î + 8ĵ + 5k̂ are coplanar.

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Show that the four points with position vectors: 4î + 8ĵ + 12k̂, 2î + 4ĵ + 6k̂, 3î + 5ĵ + 4k̂ and 5î + 8ĵ + 5k̂ are coplanar.

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1 Answer

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Best answer

Let

= -2(21 + 0) + 4(7 + 8) - 6(0 + 3)

= -42 + 60 - 18 = -60 + 60 = 0

∴ A, B, C, D are coplanar.

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