question 62. find the magnitude of each vector and the angle theta, 0 degrees <= 360 degrees, that the vector makes with the positive x-axis.F = -2 sqrt 3i + 2j vFind the magnitude of each vector and the angle 0, 0° ≤ 0 < 360°, that the vector makeswith the positive x-axis.59. U = (3, 3)61. W = -1-V3j60. V = (5,-5)62. F = -2√3i+2j

Magnitude of a Vector Formula Suppose, AB is a vector quantity that has magnitude and direction both. To calculate the magnitude of the vector AB→ , we have to calculate the distance between the initial point A and endpoint B. In XY – plane, let A has coordinates (x0, y0) and B has coordinates (x1, y1). Therefore, by distance formula, the magnitude of vector AB→= (x1–x0)2+(y1–y0)2 Now if the starting point is at (x, y) and the endpoint is at the origin, then the magnitude of a vector formula becomes; Direction of a vector The direction of a vector is nothing but the measurement of the angle which is made with the horizontal line. One of the methods to find the direction of the vector AB→ is; tan α = y/x; endpoint at 0. Where x is the change in horizontal line and y is the change in a vertical lin