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學測100-G

Author:簡廷豐

參考解法

L的方向向量 (2, b, c) 和平面H的法向量 (1, –1, 1) 垂直 又 (a, b, c)和 \vec{OP} = (2, 1, 1) 垂直。 可由兩者作外積得 (2, b,c) // (2, 1, 1) × (1, –1, 1) = (2, –1, –3) 故 (b, c) = (–1, –3)

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