If a rotation quaternion is [0.866, 0.162, 0.382, 0.279], which of the following quaternions is equal to its inverse? O [-0.866, -0.162, -0.382, -0.279] O [-0.162,-0.382, -0.279] O [0.866, -0.162, -0.382, -0.279] [-0.866, 0.162, 0.382, 0.279]

The Euler representation of a complex number is: 2e(ri)/2 which corresponds to the following polar representation: Select one: O a. 2(cos(1/2)-isin(Tt/2)) O b. cos(T/2)+isin(Tt/2) O c. (cos(T/2)+isin(T/2)) O d. 2(cos(T/2)+isin(Tt/2))

Find the three cube roots of the following complex number: 512 ( cos 60 + i sin 60 ) O ( 4.52 + 2.74i ), ( -6.13 + 6.14i ) & ( -3.39 - 7.88i ) O (7.52 + 2.74i ), ( -6.13 + 5.14i ) & ( -1.39 - 7.88i ) O (7.52 - 7.74i ), ( -4.13 + 2.14i ) & ( -4.39 - 2.88i ) O (7.52 + 4.74i ), ( -6.13 + 3.14i ) & ( -1.39 - 5.88i )