Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
1/30 wish you well on your assignment ~JyMarkus
The domain for the rational expression as given in the task content is; All real numbers except -5.
<h3>Domain of Rational functions</h3>
The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.
On this note, the expression is undefined when, 3x + 15 = 0.
Hence, the domain is All real numbers except -5.
Read more on rational functions;
brainly.com/question/13763081
