No solution needed, just answers

Find the sum of the given vectors. a = (5, 0, 3), b = (0, 7, 0) Illustrate geometrically. a starts at (x, y, 2) = (0, 0, 0) and ends at (x, y, z) = b starts at (x, y, 2) = and ends at (X, y, z) = a + b starts at (x, y, 2) = and ends at (x, y, z) =4. [-/1.25 Points] DETAILS SCALC9 12.2.508.XP. MY NOTES Find a + b, 2a + 3b, lal, and la - b|. a = i + 4j - 2k, b = -5i - j + 7k a + b = 2a + 3b = lal = la - bl = Need Help? Read It Watch It 5. [-/1.25 Points] DETAILS SCALC9 12.2.512.XP. MY NOTES Find a vector that has the same direction as (-4, 6, 2) but has length 6. Need Help? Read It 6. [-/1.25 Points] DETAILS SCALC9 12.2.029. MY NOTES If v lies in the first quadrant and makes an angle /3 with the positive x-axis and |v| = 10, find v in component form. V = Need Help? Read It Watch ItThe magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45W at a speed of 40 kmlh. [This means that the direction from which the wind blows is 45 west of the northerly direction.) A pilot is steering a plane in the direction N60E at an airspeed (speed in still air) of 200 kmfh. The tme course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane. (Round your answers to one decimal place.) true course N E ground speed kmfh Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 4 kg. The ropes, fastened at different heights, make angles of 520 and 40 with the horizontal. Find the tension in each wire and the magnitude of each tension. (Use g = 9.8 m/s for the acceleration due to gravity. Round your answers to two decimal places.) 3 m rope tension N 3 m rope magnitude N 5 m rope tension N 5 m rope magnitude N 40 520 3 m 5 m