Let w₁ be the point obtained by the rotation of z₁ = 5 + 4i about the origin through a right angle in the anti…

Question

Let $$w_1$$ be the point obtained by the rotation of $$z_1 = 5 + 4i$$ about the origin through a right angle in the anticlockwise direction, and $$w_2$$ be the point obtained by the rotation of $$z_2 = 3 + 5i$$ about the origin through a right angle in the clockwise direction. Then the principal argument of $$w_1 - w_2$$ is equal to:

Accepted Answer

A. $$\pi - 	an^{-1}\left( \frac{8}{9} ight)$$

Answer

B. $$-\pi + 	an^{-1}\left( \frac{8}{9} ight)$$

Answer

C. $$\pi - 	an^{-1}\left( \frac{33}{5} ight)$$

Answer

D. $$-\pi + 	an^{-1}\left( \frac{33}{5} ight)$$

Answer & step-by-step solution

Practice more Modulus & Argument questions

Related questions