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Question: The projection of a line on a co-ordinate axes are 2, 3, 6. Then the length of the line is...

The projection of a line on a co-ordinate axes are 2, 3, 6. Then the length of the line is

A

7

B

5

C

1

D

11

Answer

7

Explanation

Solution

ratio λ1\frac{\lambda}{1} = x1x2–\frac{x_{1}}{x_{2}} = 32\frac{–3}{–2} = 32\frac{3}{2}

\ Required co-ordinates

= (665,10+35,14+245)\left( \frac{6–6}{5},\frac{10 + 3}{5},\frac{–14 + 24}{5} \right)= (0,135,2)\left( 0,\frac{13}{5},2 \right)