Given that B = 2m, Northeast, C = 3m, 20° East of North and R= 4m, 70° North of East, find vector A where R = A + B + C.
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Given that B = 2m, Northeast, C = 3m, 20° East of North and R= 4m, 70° North of East, find vector A where R = A + B + C.
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- You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.A sailboat race course consists of four legs, defined by the displacement vectors ABC, and, as the drawing indicates. The magnitudes of the first three vectors are A = 2.70 km, B-5.30 km, and C= 4.40 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle. 23.0 (a) Number (b) Number Units Units B Finish- K 35.0 X 40.0⁰ StartThe route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A+ B+ C = 0. Find the magnitudes of vector B and vector C .
- A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of West, then 1.5 miles due South. What must be the vector displacement of the hiker during the fourth part of the trip in order for the resultant to be 5.5 miles due West for the entire trip? Drawing a vector diagram or drawing individual vectors will help.Imagine that you take the cross product A x B, where A-22 +79 and B=10€ +99. What is the z-component of the resulting vector?Suppose a person walks so that their displacement is represented by a vector that has a magnitude of 52m (vector A). The direction of that initial displacement is 31 degrees north of east. After that, the person then walks 15 m due west (vector B). Use trig to calculate the east and north components of the first displacement, vector A.
- A = 15m due West To get from one office to another in a company, a man travels as follows: R = 25 m, 53° East of North = 20m due East Which of the following is the magnitude and direction of the resultant vector? 27.6 m, 59 degree North of East B 29.2 m, 31 degree North of East 29.2 m, 31 degree East of North D) 27.6 m, 59 degree East of NorthVector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – BVector D = A+ B - C, where Ax=22, Ay= -12, Bx =5, By=-9, and C has a magnitude of 35 and points at +45 degrees. Use the analytical component method to calculate for Dx, Dy, and the angle of D.
- Page 3 of 8 3. Vector A has a magnitude of 13.6 and is at an angle of 30.5° counterclockwise from the +x- axis. Vector B has a magnitude of 25.1 and is -50.3° from the +x-axis. a. Express the vectors in the unit vector notation and b. find the angle between them.Vector A has magnitude 27 and direction 168°. Vector B has magnitude 39 and direction 270°. Find the resultant vector R, which is the sum of these two vectors.A pilot needs to fy to a destination 350 km north of his current position in 2.0 hours. An air traffic controller tells him that the wind velocity (as seen on the ground) is 27 km/h [E34 °S]. a) Sketch the overall vectors of the plane to the ground, the plane to the air and the air to the ground. Write the equation for the velocity of the plane relative to the ground with the appropriate subscripts. b) What is the minimum speed that the pilot would need to fly if there was no wind? c) Determine the heading of the plane (in what direction must the pilot fly to compensate for the wind?). Show your work. Label your vectors and label x and y components. d) Determine the speed of the plane with respect to air that the pilot would need to take in order to reach the desired destination on time.