Three Dimensional Geometry Question 82
Question: If the co-ordinates of A and B be (1, 2, 3) and (7, 8, 7), then the projections of the line segment AB on the co-ordinate axes are
Options:
A) 6, 6, 4
B) 4, 6, 4
C) 3, 3, 2
D) 2, 3, 2
Show Answer
Answer:
Correct Answer: A
Solution:
Here, $ x_2-x_1=6 $ , $ y_2-y_1=6 $ , $ z_2-z_1=4 $ and d.c’s of $ x,,y,,z $ -axes are (1,0,0), (0,1,0), (0, 0, 1) respectively. Now projection = $ (x_2-x_1)l+(y_2-y_1)m+(z_2-z_1)n $
$ \therefore $ Projections of line AB on co-ordinate axes are 6, 6, 4 respectively.
BETA
