Recall that if a line is parallel to the vector v and passes through the point p0, which is the tip of the position vector r0, then the vector equation of the line is given by r(t) = r0 + tv. for the given line, we have r0 = 7, −8, 3 and v = 1, 6, − 1 3 . so the vector equation for this line is r(t) = 7, −8, 3 + t 1, 6, − 1 3 = .

The vector equation of the line is

Parametric equations for given line are

Explanation:

The vector equation of the line is given by

r₀ = (7, -8, 3)

v = (1, 6, -13)

At these points the vector equation for this line is:

Parametric equations for given line are

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide