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Q.
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
A.
6, 6, 4
B.
4, 6, 4
C.
3, 3, 2
D.
2, 3, 2
E.
None of the above
View Answer
Correct choice: A
Explanation:
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
∴ Projections of line AB on co-ordinate axes are 6, 6, 4 respectively.
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