Given , find .  

Find the distance between the planes given below.  

Two insects are crawling along different lines in three-space. At time t (in minutes), the first insect is at the point where . Also, at time t, the second insect is at the point where . Assume distances are given in inches. Find the distance between the two insects at time . Round your answer to two decimal places.  

Given and , find . ​

Find the unit vector in the direction of u.  

Suppose a 48,000-pound truck is parked on a slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force perpendicular to the hill. Round your answer to one decimal place.  

Find the magnitude of the vector given below.  

Which of the following is NOT a change we expect to see in the oceans as global warming continues?

Find a unit vector that is orthogonal to both and .  

You manage to tranquilize a young male of your new species of gibbon and take a blood sample. It has high amounts of cortisol in it – what is the most likely explanation?