First slide

Straight lines in 3D

Question

The two lines _{$x = a y + b, z = c y + d;$} and _{$x = a^{'} y + b^{'}, z = c^{'} y + d^{'}$} are perpendicular to each other if

Moderate

A

_{$a a^{'} + c c^{'} = - 1$}
B

_{$a a^{'} + c c^{'} = 1$}
C

_{$\frac{a}{a^{'}} + \frac{c}{c^{'}} = - 1$}
D

_{$\frac{a}{a^{'}} + \frac{c}{c^{'}} = 1$}

Solution

Equation of lines _{$\frac{x - b}{a} = y = \frac{z - d}{c}$}
_{$\frac{x - b^{'}}{a^{'}} = y = \frac{z - d^{'}}{c^{'}}$}

Line are perpendicular _{$\Rightarrow$} _{$a a^{'} + 1 + c c^{'} = 0$}

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App