For the vector field E = xxy – ŷ(x² + 2y²), calculate E-dl around the triangular contour shown in C Fig. P3.50(a). y 0 1 y 0 1 2 -X
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- Is the following statement true or false? Explain. If the wind is blowing from the southwest, then the bearing for the wind vector is 225°. Choose the correct answer below. O A. The statement is true because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 225° angle. B. The statement is false because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 45° angle. C. The statement is false because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 1, which is a 45° angle. D. The statement is true because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 3, which is a 225° angle.solve step by step, image has partial answerItem 1 A radar station, located at the origin of xy plane, as shown in ( Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is RA. The position vector R has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward. Figure esc 8: 123° 2 40° east A 8: F2 6 M F6 & 7 F7 ? m +00 8 DII FB 1 I ( 9 F9 0 F10 f . FM Re
- You first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0). A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum). B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors. C. What is your displacement from where you originally started? D. If the whole walk took 40 seconds, then what was your average velocitySuppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 21, then this problem asks you to find their sum R = A + B.