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
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For the sake of showing work I will replace the empty space with an x like so...
To find out what x is you must cross multiply (aka butterfly)
***Image of this step is attached below
9*x = 10*90
9x = 900
Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.
9x ÷ 9 = 900 ÷ 9
1x = 100
x = 100
To make these fractions equivalent the empty spot must be 100
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