Question

The projections of a line on the axes are 3, 4 and 26. Find the length of the line.

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Answer 1

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$\huge\mathfrak\green{Question❔}$

● The projections of a line on the axes are 3, 4 and 26. Find the length of the line.

$\huge\mathfrak\green{step \: by \: step✅}$

◆ Let d be the length of line, then projection on x-axis =dl=3, projection on y-axis =dm=4 and projection on z-axis =dn=5

Then ⬇

• Now, d^2

• ( l^2 +m 2 +n 2 )=50

• ⇒d^2 =50

• ⇒d=5√2

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Answer 2

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Let d be the length of line, then projection on x-axis =dl=3, projection on y-axis =dm=4 and projection on z-axis =dn=5

1) Now, d^2

2) ( l^2 +m 2 +n 2 )=50

3)⇒d^2 =50

4) ⇒d=5√2