An elk runs a pattern given by the three displacement vectors A, B, and C shown in the diagram below. Their respective magnitudes are: A = 8.00 m, and B = 24.0 m and C = 28.8 m. {Consider the starting position as the origin}. Determine the magnitude and direction of the resultant vector R. {Consider determining the components of each displacement vector} 90.0° 35.0° Start A + B+ C

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Chapter1: Units, Trigonometry. And Vectors
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An elk runs a pattern given by the three displacement vectors A, B, and C shown in the diagram below. Their respective magnitudes are: A = 8.00
m, and B = 24.0 m and C = 28.8 m. {Consider the starting position as the origin}. Determine the magnitude and direction of the resultant vector R.
{Consider determining the components of each displacement vector}
B
90.0°
35.0°
A
Start
A + B + C
O 35.3 m, 0 = - 48.7°
O 20.4 m, 0 = -25.3°
O 48.4 m, 0 = -10.1°
O 38.9 m, 0 = -30.8°
O 73.6 m, 0 = -6.79°
O 45.6 m, 0 = -18.9°
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Transcribed Image Text:An elk runs a pattern given by the three displacement vectors A, B, and C shown in the diagram below. Their respective magnitudes are: A = 8.00 m, and B = 24.0 m and C = 28.8 m. {Consider the starting position as the origin}. Determine the magnitude and direction of the resultant vector R. {Consider determining the components of each displacement vector} B 90.0° 35.0° A Start A + B + C O 35.3 m, 0 = - 48.7° O 20.4 m, 0 = -25.3° O 48.4 m, 0 = -10.1° O 38.9 m, 0 = -30.8° O 73.6 m, 0 = -6.79° O 45.6 m, 0 = -18.9° Previous
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Here, it is given that, an elk runs a pattern given by three displacement vectors, A, B and C. 

The magnitudes of A, B and C are 8 m, 24 m and 28.8 m respectively.

We have to determine the magnitude and direction of the resultant vector R.

Let's see how we do it : 

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