Answer
The required answers of questions are given below:-
a. x=-3√3, y=3, z=7
b. x=0, y=1, z=0
c. x=0, y=3, z=5
d. x=0, y=4, z=-1
Work Step by Step
Given:-a.(6,5π/3,7)
x=rcosθ=6cos5π/3=-3√3
y=rsinθ=6sin5π/3=3
Z=7
b. (1,π/2,0)
x=rcosθ=cosπ/2=0
y=rsinθ=sinπ/2=1
Z=0
C. (3,π/2,5)
x=rcosθ=3cosπ/2=0
y=rsinθ=3sinπ/2=3
Z=5
d. (4, π/2, -1)
x=rcosθ=4cosπ/2=0
y=rsinθ=4sinπ=4
Z=-1
Ans.
