Let v₁,..., Vk be vectors, and suppose that a point mass of m₁, ..., mk is located at the tip of each vector. The center of mass for this set of point masses is equal to V=Mv++mkvk m where m = m₁ + + mk. Determine how to divide a total mass of 11 kg among the vectors u₁ = (-1, 3), u2 = (3, -2), and u3 = (5, 2) so that the center of mass is (33/11, 4/11). m₁ = 4 m2 = 5 m3 = 2 eBook X

Find the angle (in degrees) between the vectors a and b, rounded to two decimal places, where a = 141-17 ĵ +16 kand b = 2 1-103-4k Remember to include two decimal places including trailing zeros if necessary e.g. the numbers 197.796, 197.8, and 197.804 will be all entered as 197.80 i.e. 197.80.

Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

For the vectors u = (- 1,3) and v= (-4,2), calculate proj,u and scal,u. proj,u = OD