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學測100-G
Author:
簡廷豐
GeoGebra
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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