VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>3-D Geometry>Angle Between Two Lines>Angle Between Two Lines in Terms of Direction Ratios

Angle Between Two Lines in Terms of Direction Ratios

Author:K. C. Sinha & Abhishek Chandra

JEE Advanced

IMPORTANT

Important Questions on Angle Between Two Lines in Terms of Direction Ratios

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IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>3-D Geometry>Angle Between Two Lines>Angle Between Two Lines in Terms of Direction Ratios> Q 1

The angle formed between a line with direction ratio $2 : 2 : 1$ and a line joining $(3, 1, 4)$ to $(7, 2, 12)$ is

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IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>3-D Geometry>Angle Between Two Lines>Angle Between Two Lines in Terms of Direction Ratios> Q 2

Two lines with direction cosines $l_{1}, m_{1}, n_{1}$ and $l_{2}, m_{2}, n_{2}$ are at right angles if