Three Dimensional Geometry Question 336
Question: If the origin is shifted (1, 2 -3) without changing the directions of the axis, then find the new coordinates of the point (0, 4, 5) with respect to new frame.
Options:
A) (-1, 2, 8)
B) (4, 5, 1)
C) (3, -2, 4)
D) (6, 0, 8)
Show Answer
Answer:
Correct Answer: A
Solution:
[a] In the new frame $ x’=x-x_1,y’=y-y_1, $ $ z’=z-z_1, $ where $ ( x_1,y_1,z_1 ) $ is shifted origin.
$ \Rightarrow x’=0-1=-1=y’=4-2=2=2, $ $ z’=5+3=8 $ Hence, the coordinated of the point with respect to the new coordinated frame are (-1, 2, 8)
BETA
