Question

A small sculpture is located at point S(0, −7, 0) on a display stand. The stand is rotated 90º about the positive z-axis.

What are the new coordinates of the sculpture, S′?

Responses

(0, 0, −7)
left parenthesis 0 comma 0 comma negative 7 right parenthesis

(−7, 0, 0)
left parenthesis negative 7 comma 0 comma 0 right parenthesis

(7, 0, 0)
left parenthesis 7 comma 0 comma 0 right parenthesis

(0, 7, 0)

Answer 1

(7, 0, 0)

Rotation by 90° about the positive z-axis sends (x,y) → (−y, x). For (0, −7, 0) this gives (−(−7), 0, 0) = (7, 0, 0).