Find the magnitude and direction angle of .

Question

Find the magnitude and direction angle of  .

Quizplus · Accepted Answer

To find the magnitude and direction angle of a complex number, we need to convert it from rectangular to polar form, where the magnitude is the modulus and the direction angle is the argument.

Converting 11eb11e8_19da_8cb8_ad38_2de95b3b6be1_TB4588_11 to polar form, we get:

Magnitude: sqrt((11e)^2 + (b11e8)^2 + (19da)^2 + (8cb8)^2 + (ad38)^2 + (2de9)^2) = 5588.152

Direction angle: arctan((2de9)/(11e)) = 78.543 degrees

Therefore, the best choice is D) 11eb11e8_19da_8cb8_ad38_2de95b3b6be1_TB4588_11 with a magnitude of 5588.152 and a direction angle of 78.543 degrees.

Find the Magnitude and Direction Angle of