Write the vector v in the form v1 i v2 j given its magnitud

Write the vector v in the form v_1 i + v_2 j, given its magnitude is |v| = 15 and the angle it makes with the position x- axis is theta = 210 degree. V = i j (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Solution

v = |v|cos210 i + |v|sin210 j

v = 15cos210 i + 15sin210 j   

v = -12.9904 i - 7.5 j