a) Determine if the line [x, y, z] [4, 1,-2] t[3, 1, -5] has x-, y-, and/or z-intercepts.

b) Under what conditions will a line parallel to [x, y, z] [4, 1, -2] t[3, 1, -5] have only

i) an x-intercept?

ii) a y-intercept?

iii) a z-intercept?

c) Under what conditions (if any) will a line parallel to the one given have an x-, a y-, and a z-intercept?