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Q.
The projection of a line on a co-ordinate axes are 2, 3, 6. Then the length of the line is
A.
5
B.
7
C.
1
D.
11
E.
None of the above
View Answer
Correct choice: B
Explanation:
Let d be the length of line, then projection on x-axis = dl = 2, projection on y-axis = dm = 3, Projection on z-axis = dn = 6
Now d
2
(l
2
+ m
2
+ n
2
) = 4 + 9 + 36
⇒ d
2
(1) = 49 ⇒ d = 7.
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