Find the resultant of the vectors shown in fig by the component method

Explanation

`vec(R_(x)) = 1hat(i) - 5 cos 37^(@) hat(i) - 6 cos 53 hat(i)`
`vec(R_(x)) = 1hat(i) - 4hat(i) - 3.6 hat(i) therefore vec(R_(x)) = -6.6hat(i)`
`vec(R_(y)) = 3hat(j) + 5 sin 37 hat(j) - 6 sin 53^(@) hat(k)`
`vec(R_(y)) = 3hat(j) + 3hat(j) - 4.8 hat(j) therefore vec(R_(y)) = 1.2 hat(j)`
`R = sqrt((R_(x)^(2) + R_(y)^(2))) = sqrt((-6.6)^(2) + (1.2)^(2)) = 6.7`