The current of a river is given by the vector (7,5). The direction of the vector is

The speed of an object is the magnitude of its relative velocity vector. A baseball player throws a baseball at an angle of 61° with the horizontal. If the initial speed of the ball is 93 mph, find the horizontal and vertical components of the initial velocity vector of the baseball. (Round to two decimal places.)

Give the vector equation of the line passing through P and Q. P= (3, 1), Q = (2, 0) X = + t

A ball is thrown at an angle of 60° to the ground. If the ball lands 90 meters away. What was the initial speed of the ball? You must solve this problem using concept of vectors.

1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the direction of N60°E. Find the true velocity vector of the airplane in terms of I and j. Then find the true SPEED of the airplane.

Which of the vectors in the image below represents 3 C when è = ?

The minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)