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Show that lines

r = (2j - 3k) + λ(i + 2j + 3k) and r = (2i + 6j + 3k) + μ(2i + 3j + 4k) are coplanar. Find the equation of the plane determined by them.

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Best answer

= 2(-1) + 6(2) + 3(-1)

= -2 + 12 – 3 = 7

Hence, the given lines are coplanar and the equation of the plane determined by these lines is

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