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.
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
Answer:
2 and -9
Step-by-step explanation:
2 times -9 is -18
2 plus -9 is -7
Hope this helped!
Final Answer:
Steps/Reasons/Explanation:
Question: What is the solution to the linear equation ?
<u>Step 1</u>: Simplify to .
<u>Step 2</u>: Cancel on both sides.
<u>Step 3</u>: Subtract from both sides.
<u>Step 4</u>: Simplify to .
<u>Step 5</u>: Divide both sides by .
~I hope I helped you :)~
Answer:
96 degrees
Step-by-step explanation: