1、The vector from the origin to point A is given as (6, −2, −4), and the unit vector directed from the origin toward point B is (2, −2, 1)/3. If points A and B are ten units apart, find the coordinates of point B.
2、The surfaces r = 2 and 4, θ = 30◦ and 50◦, and
φ = 20◦ and 60◦ identify a closed surface. Find (
a) the enclosed volume; (b) the total area of the
enclosing surface; (c) the total length of the twelve edges of the surface.
3、A charge of -1nC is located at the origin in free space what charge must be located at (1, 0, 0) to cause to be zero at (3, 1, 1)?