The route followed by a hiker consists of three displacement vectors Ā, B, and C. Vector A is along a measured trail and is 2530 m in a direction 29.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows the direction is 30.0° east of south. Similarly, the direction of vector Č is 21.0° north of west. The hiker ends up back

Vector  A  has a magnitude of 24 units and points in the positive y-direction. When vector  B  is added to  A,  the resultant vector  A + B  points in the negative y-direction with a magnitude of 11 units. Find the magnitude and direction of  B. magnitude=

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.

A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitude of 24 and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. C = A + B (a) magnitude direction (b) C=A-B в magnitude direction (c) C = A + 4B magnitude direction (d) = -A-7B ℃ magnitude direction ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) O (counterclockwise from the +x-axis)

Vector  A  has a magnitude of 23 units and points in the positive y-direction. When vector  B  is added to  A,  the resultant vector  A + B  points in the negative y-direction with a magnitude of 15 units. Find the magnitude and direction of  B.

A 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?

Vector X has magnitude 9.0 m and is directed east. Vector Y has magnitude 8.0 m and is directed north. What is the resultant displacement of the vectors?

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.

Sydney, Tayler and I go out for a short walk together.  We first walked 10 meters 34° South of East, then 20 meters due South, and then 15 meters 42° South of West.  We want to find the overall resultant vector of our total travels.

A treasure hunter following a map walks 11 meters south, 9 meters east, 2 meters north, and 4 meters west. Find the (x,y) coordinates of the treasure hunter’s displacement, and the magnitude of the displacement vector.