Find the equation of the plane containing the line x-2-y-13-z-1-1 passing through the point -1-0-2

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Standard XII

Mathematics

Slope of a Line Connecting Two Points

Find the equa...

Question

Find the equation of the plane containing the line $\frac{x}{- 2} = \frac{y - 1}{3} = \frac{z - 1}{- 1}$ passing through the point $(- 1, 0, 2)$

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Solution

$x + y + z + λ (- 2 x + 3 y - z) = 0$
$(- 1, 0, 2)$
$y + z + λ (2 + 0 - 2) = 0$
$λ = 0$
$y + z = 0$ .

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Find the equation of the plane containing the line x−2=y−13=z−1−1 passing through the point (−1,0,2)

x+y+z+λ(−2x+3y−z)=0(−1,0,2)y+z+λ(2+0−2)=0λ=0y+z=0.

Find the equation of the plane containing the line $\frac{x}{- 2} = \frac{y - 1}{3} = \frac{z - 1}{- 1}$ passing through the point $(- 1, 0, 2)$

$x + y + z + λ (- 2 x + 3 y - z) = 0$
$(- 1, 0, 2)$
$y + z + λ (2 + 0 - 2) = 0$
$λ = 0$
$y + z = 0$ .