Question

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-4
14. 設x,y,z 皆為實數,已知x-2y-z=6,求√(x-6)²+(y+3)²+(z+6)²的最小值為
(11-211)
(61-3.6)

向量

Answer 1

綾

所求
= 點(6, -3, -6)到面(x-2y-z =6)的距離
= |(6)-2(-3)-(-6)-6| / [1^2 + (-2)^2 + (-1)^2]^0.5
= 12 / 6^0.5
= 2*6^0.5