8
QuizMultiple Choice
Dot Product and Work — Unit test
Question 8 of 15 • Precalculus
Two planes take off from the same airport at approximately the same time. Plane A has an airspeed of 600 mph and travels in the direction S 20° W. Plane B has an airspeed of 450 mph and travels in the direction N 35° E.Which diagram represents the distance, x, between the planes?
Answer
A
On a coordinate plane, a vector labeled 450 miles per hour goes up and to the left in quadrant 2 and forms angle a = 35 degrees with the y-axis. A vector labeled 600 miles per hour goes down and to the left in quadrant 3 and forms angle beta = 20 degrees with the y-axis. Vector x goes from terminal point 600 miles per hour to terminal point 450 miles per hour.
B
On a coordinate plane, a vector labeled 450 miles per hour goes up and to the right in quadrant 1 and forms angle a = 35 degrees with the y-axis. A vector labeled 600 miles per hour goes down and to the left in quadrant 3 and forms angle beta = 20 degrees with the y-axis. Vector x goes from terminal point 600 miles per hour to terminal point 450 miles per hour.
C
On a coordinate plane, a vector labeled 450 miles per hour goes up and to the left in quadrant 2 and forms angle a = 35 degrees with the y-axis. A vector labeled 600 miles per hour goes down and to the right in quadrant 4 and forms angle beta = 20 degrees with the y-axis. Vector x goes from terminal point 600 miles per hour to terminal point 450 miles per hour.
D
On a coordinate plane, a vector labeled 450 miles per hour goes up and to the right in quadrant 1 and forms angle a = 35 degrees with the y-axis. A vector labeled 600 miles per hour goes down and to the right in quadrant 4 and forms angle beta = 20 degrees with the y-axis. Vector x goes from terminal point 600 miles per hour to terminal point 450 miles per hour.