Let the four horizontal compass directions north, east, south, and west be represented by units vectors n^, e^, s^, and w^, respectively. vertically up and down are represented as u^ and d^. let us also identify unit vectors that are halfway between these directions, such as (ne)^ for northeast. rank the magnitudes of the following cross products from the largest to the smallest. (use only "> " or "=" symbols. do not include any parentheses around the letters or symbols.)
(a) n^ x n^(b) w^ x (ne)^(c) u^ x (ne)^(d) n^ x (nw)^(e) n^ x e^

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Which boundary is associated with the building of the himalaya mountains? convergent transform divergent hot spot

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )