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ta The Expert TAIHuman-lik x GAssume you have the follo x G What is the magnitud

ID: 1486573 • Letter: T

Question

ta The Expert TAIHuman-lik x GAssume you have the follo x G What is the magnitude of x C Chegg Study IGuided Sol x Corey C https:// /Common/TakeTutorialAssignment.aspx ust35nc.theexpertta.co Class Management I Help Practice Problem 10: Rotational Dynamics Begin Date: 11/2/2015 12:00:00 AM Due Date: 12/11/2015 11:59:00 PM End Date: 12/11/2015 11:59:00 PM (9%) Problem 1 Assume you have the following two vectors: 14i 18.5 10. 1.6i 5.5 1.1 Assignment Status Click here for detailed view 25% Part (a) What is the x-component of the vector v A x B A 25% Part (b) What is the y component of the vector V A x B A 25% Part (c) What is the component of the vector V A x B Problem Status A 25% Part (d) What is the magnitude of the vector V A x B Partial Grade Summary Partial Deductions 100% sino coso tano 7 8 9 HOME Sub Completed Attempts remaining: 3 cotan Completed 4% per attempt) 1 2 3 atano acotano sinh0 detailed view Completed cosh tanh 0 cotanh0 IVO BACKSPACE CLEAR Degrees O Radians 10 Hint I give up! Submit 11 Completed Hints: 4% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. TA, LLC 2/11/2015

Explanation / Answer

A = 14 i + 18.5 j + 10.5 k

B = 16 i + 5.5 j - 1.1 k

V = A X B

V = (14 i + 18.5 j + 10.5 k) x   (16 i + 5.5 j - 1.1 k)

V = (14 x 16) (i x i) + (14 x 5.5) (i x j) - (14 x 1.1) (i x k) + (18.5 x 16) (j x i) + (18.5) (5.5) (j x j) - (18.5 x 1.1) (j x k) +

        (10.5 x 16) (k x i) + (10.5 x 5.5 ) (k x j) - (10.5 x 1.1) (k x k)

V = 0 + 77 k - 15.4 (-j) + 296 (-k) + 0 - 20.4 (i) + 168 j + 57.75 (-i) - 0

V = 77 k + 15.4 j - 296 k - 20.4 i + 168 j - 57.75 i

V = - 78.15 i^ + 183.4 j - 219 k

a)

X-component = - 78.15

b)

Y-component = 183.4

c)

Z-component = - 219

d)

V = sqrt ((-78.15)2 + (183.4)2 + (-219)2) = 296.15