A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Write the vector that describes the displacement of a fly if it quickly goes from the tip of the minute hand to the tip of the hour hand at 3:00 P.M. (Let D represents the displacement of the fly.) D= |mî + mj

You go on a long hike by first walking 25 km southeast (i.e., 45° south of east) from your car. You then stop and camp for the night. On the second day, you walk 40 km in a direction 60° north of east. In what direction, as measured from the position of your car, is your final position? (Give your answer to the nearest degree.)

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.

A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Write the vector that describes the displacement of a fly if it quickly goes from the tip of the minute hand to the tip of the hour hand at 3:00 P.M. (Let D represents the displacement of the fly.) D = 0.46 |× mî+ -0.26 Let the +y direction be straight up and the +x direction be to the right. Recall the definition of displacement, and remember that positions are vector quantities.

Vector A has components Ax = 10.0 and Ay = -14.3. What is the magnitude A of this vector? Determine the angle 0 in degrees between the calculated vector and the +x-axis, measured counterclockwise from the +x-axis.

Vector Ä has a magnitude of 10 units and a direction angle of 14° measured counterclockwise from the positive r-axis. Vector B has the same r-component as Ä, but its y-component is 3 times larger. What is the magnitude and direction angle of vector B?

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.

The magnitude of vector A is 40.0 units and points in the direction 335° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax= Ay=