Exercise 1.41 Write each vector in the figure Eiaure 1) in terms of the unit vec

Question

Exercise 1.41 Write each vector in the figure Eiaure 1) in terms of the unit vectors and J Figure 1 of 1 B 5.0 m) 30.0 D (10.0 m 53 25.00 C(12.0 m) A (8.00 m) Part A Express your answer in terms of the unit vectors i and j. Use the unit vector' button to denote unit vectors in your answer. Submit Incorrect, Try Again; 2 attempts remaining The correct answer does not depend on: i, J. Part B Express your answer in terms of the unit vectors i and j. Use the unit vector' button to denote unit vectors in your answer. Submit My Answers Up Give Part C Express your answer in terms of the unit vectors i and j. Use the unit vector' button to denote unit vectors in your answer. Submit My Answers Give Up Part D Express your answer in terms of the unit vectors i and j. Use the unit vector' button to denote unit vectors in your answer. Submit Up

Explanation / Answer

given,

x component of vector A = 0 m

y component of vector a = -8 m

A = (0i - 8j) m

x component of vector B = 15 * sin(30)

x component of vector B = 7.5 m

y component of vector B = 15 * cos(30)

y component of vector B = 12.99 m

B = (7.5i + 12.99j) m

x component of vector C = -12 * cos(25)

x component of vector C = -10.87 m

y component of vector C = -12 * sin(25)

y component of vector C = -5.07 m

C = (-10.87i - 5.07j) m

x component of vector D = -10 * sin(53)

x component of vector D = -7.98 m

y component of vector D = 10 * cos(53)

y component of vector D = 6.02 m

D = (-7.98i + 6.02j) m

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