Question
Download Solution PDFIf the projections of a straight line segment on the coordinate axes are 2, 3, 6, then the length of the segment is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The direction cosines of the vector is the corresponding coordinate of vector divided by the length of the vector.
If l, m, and n are direction cosines,then l2 + m2 + n2 = 1
Calculation:
The projections of a straight line segment on the coordinate axes are 2, 3, 6
Let, l, m, and n be the direction cosines of given line and k is the length of a straight line
So, l = 2/k ⇒ lk = 2
m = 3/k ⇒ mk = 3
n = 6/k ⇒ nk = 6
Now,
Hence, option (2) is correct.
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