A charge q is situated at the origin. Let $$\vec{E}_A$$, $$\vec{E}_B$$ and $$\vec{E}_C$$ be the electric fields at the points $$A(2, -3, -1)$$, $$B(-1, -2, 4)$$ and $$C(2, -4, 1)$$. Therefore,

A

$$\vec{E}_A \perp \vec{E}_B$$

B

no work is done in moving a test charge $$q_0$$ from B to C

C

$$2|\vec{E}_A| = 3|\vec{E}_B|$$

D

$$\vec{E}_B = -\vec{E}_C$$