You watch an ant crawl around on a piece of paper. The paper is 10.0 inches from top to bottom and 9.60 inches across. When you first look, the ant is at the top of the paper, in the middle of the page. It crawls around finally leaving the paper at the bottom right corner of the paper. Using a coordinate system with the origin at the center of the paper, the +x+x direction pointing to the right, and the +y+y direction point to the top of the page, what angle does the line from the origin to the ant's initial location make with the horizontal? Multiple choice:

It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0 m to the east. On the second hit, it moves 2.9 m at an angle of 20 ° north of east. On the third hit, it moves 0.50 m to the north. If the golfer had struck the ball directly into the hole in one stroke, what would have been the magnitude (in m) and the direction of the ball's displacement? Indicate direction as a positive angle measured counterclockwise from east.

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 a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z component, and has magnitude 3.70 m. Vector b lies in the xz plane 39.0° from the positive direction of the x axis, has a positive z component, and has magnitude 2.10 m. Find (a) à · 7, (b) the x-component of a × 7, (c) the y-component of a x7, (d) the z-component of a xb, and (e) the angle between a and b.

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 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?

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° east of north. A vector from the station to the point where the boat was later found is B = 30.0 km, 15.0° north of east. What are the components of the vector from the point where the distress call was made to the point where the boat was found? In other words, what are the components of vector C=A? x component y component O 40.6 km, east 35.7 km, north O 35.7 km, west 17.4 km, north 0 17.3 km, west 51.2 km, south O 17.3 km, east 35.7 km, south O 40.6 km, east 51.2 km, south

A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y axis? 22.62 degrees 55.49 degrees 65 degrees 20.6 degrees 42.82 degrees