mor/TakeTut ttps J/usq45t Help I End Date (796) Problem 8: Suppose you first wal
ID: 1572753 • Letter: M
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mor/TakeTut ttps J/usq45t Help I End Date (796) Problem 8: Suppose you first walk 13 min a direction 20° west of north and then 26.5 m in a direction 40° south of west as shown in the figure. 40° 200 Otheexpertta.com @25% Part (a) What is the component of your displacement in the x-direction, in meters? 25% Part (b) what is the component of your displacement in the y-direction, in meters? Grade Summary Deductions Potential sino Attempts remaining: 4 cotan) asin acos( acotan) sinh cosho tanh0 cotanh (4% per attempt) detailed view ans f |s ENG 1/23/2018 /23/2018Explanation / Answer
Solving 11)
Given,
A = (3, 1, 3) ; B = (4, 2, 5)
A = 3i + j + 3k ; B = 4i + 2j + 5k
a)Length of A will be:
A = sqrt (3^2 + 1^2 + 3^2) = 4.36
Hence, A = 4.36
B = sqrt (4^2 + 2^2 + 5^2) = 6.71
Hence, B = 6.71
We know that the angle between vectors is given by:
cos(theta) = A.B/A x B
cos(theta) = (3i + j + 3k).(4i + 2j + 5k)/4.36 x 6.71 = 29/4.36 x 6.71 = 0.99126
theta = cos^-1(0.991260) = 7.58 deg
Hence, theta = 7.35 deg
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