ector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the positive x-axis. What are the x- and y-components of A?

A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of the following statements is true concerning the magnitude of the resultant displacement? It could be equal to zero kilometers, depending how the vectors are oriented. No conclusion can be reached without knowing the directions of the vectors. It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented. It must be 10.0 km. It must be 14.0 km.

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?   What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

Vector A has a magnitude of 12.3 and its direction is 170° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay =