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Question

The projections of a line segment on x,y and z axes are respectively 2,3,5. The length of the line segment is

A
6
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B
11
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C
8
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D
5
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Solution

The correct option is A 6
Let the line segment be represented in vector form as a=a1i+a2j+a3k
Vector along coordinate axes are i,j,k
Given that projection of a on x axis is 3, that with y axis is 3 and that with z axis is 5.
a.i = 2, a1=2
similarily, a2=3,a3=5
a=2i+3j+5k
the length of the line segment=|a|=2+9+25=36=6

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