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What is the magnitude of the resultant of these vectors
100 N due south and 100 N 30° north of west
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- A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then she travels 35m 22 degrees NW from that position. What is the magnitude and direction of the resultant vector?arrow_forwardA vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a direction of 130°. What are the magnitude and direction of the resultant vector? Round the magnitude to the thousandths place and the direction to the nearest degree. a 69.504; 73° b 76.158; 73° c 69.504; 107° d 76.158; 107°arrow_forwardA figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?arrow_forward
- An ocean liner leaves New York City and travels 16.2°north of east for 117 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? S (a) Number i Units (b) Number i Unitsarrow_forwardI 2 BE Suppose you walk 13.0 m straight west and then 21.0 m straight north. How far are you from your starting point, 25 m what is angle of the resultant vector, 57.5 O and what is the compass direction of a line connecting your starting point to your final position? 58 X °W of Narrow_forwardA = 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 Northarrow_forward
- A vector has a magnitude of 2.8 m and points in a direction that is 135 counterclockwise from the a axis. You may want to review (Page 71).arrow_forwardGiven vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: = 3ते + 2barrow_forwardVector 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 – Barrow_forward
- An airplane is flying in the direction of 30° west of north. Windis blowing at 40 miles per hour from the south.a) What is the projection of the wind vector in the direction the airplaneis headed?b) What is the projection of the wind vector in the directionperpendicular to the direction the airplane is headed?arrow_forwardAn ocean liner leaves New York City and travels 17.5 ° north of east for 111 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? N W S (a) Number i Units (b) Number i Unitsarrow_forward
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