Part A: Suppose Jackson hiked due north on the first trail, and due east on the second trail. Show that the magnitude of the res
ultant vector for the entire hike is . Part B: Describe the meaning of the magnitude you found in Part A in terms of the hike. Part C: Could Jackson have hiked in a different direction on the second trail without affecting the magnitude of the resultant vector? Explain.
1 answer:
Answer:
A) √((distance travelled due north)²+(distance travelled due east)²)
B) distance from starting point
C) Yes due west
Step-by-step explanation:
A) According to pythagoras theorem
resultant vector= √((distance travelled due north)²+(distance travelled due east)²)
Also see 1st attachment
B) The resultant vector tells the distance from the starting point
C) The same amount of distance travelled in opposite direction that is westwards will give same magnitude of resutlant vector.
See 2nd attachment
You might be interested in
Answer:
The bearing needed to navigate from island B to island C is approximately 38.213º.
Step-by-step explanation:
The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:
(1)
Where:
- The distance from A to C, measured in miles.
- The distance from A to B, measured in miles.
- The distance from B to C, measured in miles.
- Bearing from island B to island C, measured in sexagesimal degrees.
Then, we clear the bearing angle within the equation:
(2)
If we know that ,
,
, then the bearing from island B to island C:
The bearing needed to navigate from island B to island C is approximately 38.213º.
