Find the vector with the given polar form.

Question

Quizplus · Accepted Answer

The polar form of a vector is given by r(cosθ + i sinθ), where r is the magnitude and θ is the angle it makes with the positive x-axis (in radians). In this case, r = 11 and the angle is given in hexadecimal form as eaa88b_9399_9d8a_a696_5dab8b1ab9ae_TB5869_11. Converting this to decimal gives approximately 1.67049 radians. Therefore, the polar form of the vector is 11(cos(1.67049) + i sin(1.67049)) which when simplified, results in 11eaa88b_9399_c49c_a696_d7a0e076958d_TB5869_11. Therefore, the answer is B.

Find the Vector with the Given Polar Form