put more information plesase Let and determine a parallelogram. Use vectors to s
ID: 2845461 • Letter: P
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put more information plesase
Let and determine a parallelogram. Use vectors to show that the diagonals of the parallelogram are perpendicular if and only if the sides have the same length. Find the point of intersection of the lines : x = 1 + 2t,y = 2 - t, z = 4 - 2t and : x = 9 + t, y = 3t,z = -4 -t. Find the point of intersection of and . Find, to the nearest degree, the acute angle between and at their intersection. Find parametric equations for the line that is perpendicular to and and passes through their point of intersection. Find the minimum distance between the point (-1,1,1) and the line x = 3 - t, y = t, z = 1 + 2t. A pipe is going to be wrapped with an electric heat tape material (this material is used to help prevent the water in the pipes from freezing during cold weather). The manufacturer of the heat tape suggests to have the material wrap around the pipe once for every linear foot of pipe. Assuming that the pipe being wrapped is straight and has a circular cross section with a radius of 2 inches, how much material is needed to wrap 14 feet of pipe? A car with a dead engine is being pulled in a straight line by two ropes. The force acting on the car is given by . Let the force in the two ropes be denoted and . If makes an angle of 20 degree with and makes an angle of 30 degree with . What is the magnitude of and ?Explanation / Answer
8) distance between point and line is 6*t*t-10*t+17 it has minimum at t=1.2 and mimimum distance is 13.64
9)Pipe has to be wrapped at 13 points hence material length required is 2*3.14*2*13 inches which is 163.28 inches long.
10) magnitude of F is 255 newtons
r1*cos(20)+r2*cos(30)=255 and also r1*Sin(20)=r2/2
hence r1 and r2 are 206.45 and 141.21 newtons respectively
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