8.2 スカラー場とベクトル場

1.

(a) $ \displaystyle{\hat{\bf n} = \frac{(2,-2,-1)}{3},  2x - 2y - z = 0}$ (b) $ \displaystyle{\hat{\bf n} = \frac{(1,0,6)}{\sqrt{37}},  x + 6z = 8}$

(c) $ \displaystyle{\hat{\bf n} = \frac{(0,-1,1)}{\sqrt{2}},  y - z = \pi}$

2.

(a) $ (-1,0,-1)$(b) $ (1,0,-1)$ または $(ー1,0,1)$

3.

(a) $ \displaystyle{\frac{x^2}{2} + y^2 = c}$(b) $ \displaystyle{xy = c}$