Category:Condition for Straight Lines in Plane to be Perpendicular
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This category contains pages concerning Condition for Straight Lines in Plane to be Perpendicular:
General Equation
Let $L_1$ and $L_2$ be straight lines embedded in a cartesian plane, given in general form:
\(\ds L_1: \, \) | \(\ds l_1 x + m_1 y + n_1\) | \(=\) | \(\ds 0\) | |||||||||||
\(\ds L_2: \, \) | \(\ds l_2 x + m_2 y + n_2\) | \(=\) | \(\ds 0\) |
Then $L_1$ is perpendicular to $L_2$ if and only if:
- $l_1 l_2 + m_1 m_2 = 0$
Slope Form
Let $L_1$ and $L_2$ be straight lines in the Cartesian plane.
Let the slope of $L_1$ and $L_2$ be $\mu_1$ and $\mu_2$ respectively.
Then $L_1$ is perpendicular to $L_2$ if and only if:
- $\mu_1 = -\dfrac 1 {\mu_2}$
Pages in category "Condition for Straight Lines in Plane to be Perpendicular"
The following 9 pages are in this category, out of 9 total.
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- Condition for Straight Lines in Plane to be Perpendicular
- Condition for Straight Lines in Plane to be Perpendicular/Examples
- Condition for Straight Lines in Plane to be Perpendicular/Examples/Arbitrary Example 1
- Condition for Straight Lines in Plane to be Perpendicular/General Equation
- Condition for Straight Lines in Plane to be Perpendicular/General Equation/Corollary
- Condition for Straight Lines in Plane to be Perpendicular/Slope Form
- Condition for Straight Lines in Plane to be Perpendicular/Slope Form/Proof 1
- Condition for Straight Lines in Plane to be Perpendicular/Slope Form/Proof 2
- Condition for Straight Lines in Plane to be Perpendicular/Slope Form/Proof 3