2 vectors, a and b have equal magnitude of 10 units.a is at 30 degrees to the x-axis.b is at an unknown angle

on top of a .their vector sum is r.Find;a.)the x-components of r.,b.)the magnitude of r,c.)the angle r makes with the x-axis.

2 vectors, a and b have equal magnitude of 10 units.a is at 30 degrees to the x-axis.b is at an unknown angle
in polar coordinates (radius r,angle @)


in castersian coordinates (x = r*cos @, y = r sin@)





a = (10, 30) = (10/sqrt2, 5)


b = (10, 30+@) = (10cos(30+@), 10sin(30+@))





a+b = r





part a)


r_x = a_x+b_x = 10/sqrt2+10cos(30+@)





Part b)


magnitude r


= 10*sqrt[(1/sqrt2-cos(30+@))^2+


_________(1/2-sin(30+@))]





c)30+@