Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (c) v = (14i - 11j) m/s

A runner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. The runner starts at (x,y) = (50m, 0m) and runs 2.5 times around the track in aclockwise direction. What is his displacement vector? Give your answer as a magnitude and direction.

A crate, seen from above, is pulled with three ropes that have the tensions shown in FIGURE P3.44. Tension is a vector directed along the rope, measured in newtons (abbreviated N). Suppose the three ropes are replaced with a single rope that has exactly the same effect on the crate. What is the tension in this rope? Write your answer in component form using unit vectors.

Draw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (b) r = (-2.0i - 1.0j) cm

Draw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (a) B = -4.0i + 4.0j

Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (a) A = 3.0i + 7.0j

Let A = (3.0 m, 20° south of east), B = (2.0 m, north), and C = (5.0 m, 70° south of west).c. Find the magnitude and the direction of D = A＋B＋C.

Let A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (a) Write vector F in component form.

Let A = 4i - 2j, B = -3i + 5j, and E = 2A + 3B. (c) What are the magnitude and director of vector E?