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The length of the projection of the line...

The length of the projection of the line segment joining the points `(5,-1,4)` and `(4,-1,3)` on the plane `x+y+z=7` is

A

`sqrt(2/3)`

B

`2/3`

C

`sqrt(5/3)`

D

`sqrt(4/3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`A(5,-1,4) and B(4,-1,3)`
`AB=(4-5)veci + (-1+1)vecj + (3-4)veck`
`=-veci-veck`
`abs(AB)=sqrt2`
`x+y+z=7`
`n=(veci+vecj+veck)`
Equation of plane
`vecr*vecn=d`
...
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