Problem 1E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 2E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 3E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 4E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 5E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 6E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 7E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 8E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 9E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 10E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 11E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 12E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 13E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 14E: For the following exercises, consider points P(1,3) , Q(1,5) , and R(3,7) . Determine the requested... Problem 15E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 16E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 17E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 18E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 19E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 20E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 21E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 22E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 23E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 24E: Far the following exercises, use the given vectors. a and b. Determine the vector sum a+b and... Problem 25E: For the following exercises, find vector v with the given magnitude and in the same direction as... Problem 26E: For the following exercises, find vector v with the given magnitude and in the same direction as... Problem 27E: For the following exercises, find vector v with the given magnitude and in the same direction as... Problem 28E: For the following exercises, find vector v with the given magnitude and in the same direction as... Problem 29E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 30E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 31E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 32E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 33E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 34E: For the following exercises, find the component form of vector u, given its magnitude and the angle... Problem 35E: For the following exercises, vector u is given. Find the angle [0,2) that vector u makes with the... Problem 36E: For the following exercises, vector u is given. Find the angle [0,2) that vector u makes with the... Problem 37E: Let a=a1,a2,b=b1,b2 , and c=c1,c2 be three nonzero vectors. If a1b2a2b10 , then show there are two... Problem 38E: Consider vectors a=2,4,b=1,2, and c=0 . Determine the scalars and such that c=a+b. Problem 39E: Let P(x0,f(x0)) be a fixed point on the graph of the differential function f with a domain that is... Problem 40E: Consider the function f(x)=x4 , where x. Determine the real number z0 Such that point Q(2,z0)... Problem 41E: Consider f and g two functions defined on the same set of real numbers D . Let a=x,f(x) and b=x,g(x)... Problem 42E: Find x such that vectors a=x,sinx and b=x,cosx are equivalent. Problem 43E: Calculate the coordinates of point D such that ABCD is a parallelogram, with A(1,1),B(2,4), and... Problem 44E: Consider the points A(2,1),B(10,6),C(13,4) , and D(16,2) . Determine the component form of vector AD... Problem 45E: The speed of an object is the magnitude of its related velocity vector. A football thrown by a... Problem 46E: A baseball player throws a baseball at an angle of 30 with the horizontal. If the initial speed of... Problem 47E: A bullet is fired with an initial velocity of 1500ft/sec at an angle of 60 with the horizontal. Find... Problem 48E: [T] A 65kg sprinter exerts a force of 798N at a 19 angle with respect to the ground 011 the starting... Problem 49E: [T] Two forces, a horizontal force of 45lb and another of 52lb , act on the same object. The angle... Problem 50E: [T] Two fumes, a vertical fence of 26lb and another of 45lb , act on the same object. The angle... Problem 51E: [T] Three forces act an object. Two of the fences have the magnitudes 58N and 27N , and make angles... Problem 52E: Three forces with magnitudes 80lb,120lb, and 60lb act on an abject at angles of 45,60 and 30 ,... Problem 53E: [T] An airplane is flying in the direction of 43 east of north (also abbreviated as N43E ) at a... Problem 54E: [T] A boat is traveling in the water at 30mph in a direction of N20E (that is, 20 east of north). A... Problem 55E: [T] A 50-lb weight is hung by a cable so that the two portions of the cable make angles of 40 and 53... Problem 56E: [T] A 62-lh weight hangs from a nope that makes the angles of 29 and 61 , respectively, with the... Problem 57E: [T] A 1500lb boat is parked on a ramp that makes an angle of 30 with the horizontal. The boat’s... Problem 58E: [T] An 85lb box is at rest on a 26 incline. Determine the magnitude of the fame parallel to the... Problem 59E: A guy-wire supports a pole that is 75ft high. One end of the wire is attached to the top of the pole... Problem 60E: A telephone pole guy-wire has an angle of elevation of 35 with respect to the ground. The force of... format_list_bulleted