A person travels 5.51 km east, then 9.54 km in a direction 21.21 degrees west of north, then 8.72 km west. Find the magnitude of total displacement (in km) and the direction of the displacement (degrees west of north).

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=

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 boat radioed a distress call to a Coast Guard station.  At the time of the call, a vector A from the station to the boat had a magnitude of 45.0 km and was directed 15.0 degrees east of north.  A vector from the station to the point where the boat was later found is B= 30.0 km, 15.0 degrees north of east.  (a) What are the components of the vector from the point where the distress call was made to point where the boat was found?  In other words, what are the components of vector C = B - A? (b) How far did the boat travel from the point where the distress call was made to the point where the boat was found? In other words, what is the magnitude of vector C? Please show the complete and step by step soution. Thanks!

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?

vectors A and B are shown in the figure. Vector C is given by C = B - A. The magnitude of vector A is 16.0 units, and the magnitude of vector B is 7.00 units. What is the magnitude of vector C?

A vector has an x component of -24.5 m and a y component of 31.9 m. Find the magnitude and direction of this vector. The angle should be between 0 and 360.

Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added to vector A, the resultant vector A+B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of vector B.

A girl delivering newspapers covers her route by traveling 5.00 blocks west, 5.00 blocks north, and then 9.00 blocks east. (a) What is her resultant displacement? blocks at ° north of east (b) What is the total distance she travels? blocks

the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and points east, vector B has a magnitude of 4.96 units and points north, and vector C has a magnitude of 3.28 units and points southwest.  What is the magnitude of vector D?