To carry a pound cylindrical weight

Q:Two tugboats are towing a loaded barge and the magnitude of the resultant is 6000 pounds directed along the axis of the barge (see figure). Find theQ:To carry a 100-pound cylindrical weight, two people lift on the ends of short ropes that are tied to an eyelet on the top center of the cylinder.Q:A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at degrees from the horizontal. 1. Find F when W = 100 poundsQ:Determine whether u and v are equivalent. Explain.1.2.Q:An airplane travels in the direction of 148° with an airspeed of 875 kilometers per hour. Due to the wind, its groundspeed and direction are 800Q:A commercial jet travels from Miami to Seattle. Thejet's velocity with respect to the air is 580 miles per hour, and its bearing is 332°. The jetQ:Determine whether the statement is true or false. Justify your answer. 1. If u and v have the same magnitude and direction, then u and v areQ:1. Describe the error in finding the component form of the vector u that has initial point (ˆ’3, 4) and terminal point (6, ˆ’1).Q:1. The ________ ________ of two vectors yields a scalar, rather than a vector. 2. The dot product of u = (u1, u2) and v = (v1, v2) is u ∙ v =Q:Use the vectors u = (3, 3), v = (-4, 2), and w = (3, 1) to find the quantity. State whether the result is a vector or a scalar. 1. u ∙ u 2. 3u ∙Q:Use the dot product to find the magnitude of u. 1. u = (-8, 15) 2. (4, -6) 3. 20i + 25j 4. u = 12i - 16j 5. u = 6j 6. u = -21iQ:Find the angle  (in radians) between the vectors. 1. u = (1, 0) v = (0, -2) 2. u = (3, 2) v = (4, 0) 3. u = 3i + 4j v = -2jQ:Find the angle  (in degrees) between the vectors. 1. u = 3i + 4j v = −7i + 5j 2. u = 6i − 3j v = −4i − 4j