Vector has ?y?-component ?Ay? = +13.0 m. makes an angle of 32.0° counterclockwise from the +?y?-axis. (a) What is the ?x?-component o? (b) What is the magnitude of ?

Solution 33E Step 1: Provided that the vector A is making an angle 32° counterclockwise with y-axis. It can be represented as figure 1. The angle made by vector A with X-axis will be, = 90 + 32 = 122° Step 2: b) rovided, the Y component of vector A, A = 13 my We know that, the v ector A = A +x y Ax A cos And A y= A sin So, we can write, A sin = 13 m = A y Or, A sin 122 = 13 m Sin 122 = 0.8480 That is, A ×0.8480 = 13 m A = 13 m / 0.8480 = 15.33 m