Convert $( 1 , \pi , 1 )$ from cylindrical coordinates to rectangular coordinates.
A) $( 1,1,1 )$
B) $( - 1,1,1 )$
C) $( 1 , - 1,1 )$
D) $( 1,1 , - 1 )$
E) $( - 1,0,1 )$
F) $( 0 , - 1,1 )$.
G) $( 1,1 , - 1 )$.
H) $( 0,1,1 )$

Question

Convert $( 1 , \pi , 1 )$ from cylindrical coordinates to rectangular coordinates.
A) $( 1,1,1 )$ 
B) $( - 1,1,1 )$ 
C) $( 1 , - 1,1 )$ 
D) $( 1,1 , - 1 )$ 
E) $( - 1,0,1 )$ 
F) $( 0 , - 1,1 )$.
G) $( 1,1 , - 1 )$.
H) $( 0,1,1 )$

Quizplus · Accepted Answer

In cylindrical coordinates, $(r, \theta, z)$ converts to rectangular coordinates $(x, y, z)$ using $x = r \cos \theta$, $y = r \sin \theta$, and $z = z$. For $(1, \pi, 1)$, $x = 1 \cdot \cos(\pi) = -1$, $y = 1 \cdot \sin(\pi) = 0$, and $z = 1$. Thus, the rectangular coordinates are $(-1, 0, 1)$.

Convert (1,π,1)( 1 , \pi , 1 )(1,π,1) From Cylindrical Coordinates to Rectangular Coordinates

Convert $( 1 , \pi , 1 )$ From Cylindrical Coordinates to Rectangular Coordinates