8.2 スカラー場とベクトル場

1.

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

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

2.

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

3.

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