Embibe Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: SRMJEEE (UG) 2014

If the vectors $\overrightarrow{AB}=-3\hat{i}+4\hat{k}$ and $\overrightarrow{AC}=5\hat{i}-2\hat{j}+4\hat{k}$ are the sides of a triangle $ABC$. Then the length of the median through $A$ is

If the lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}$ intersect, then $k$ equals

The lines $\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}$ and $\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}$ are coplanar, if

An equation of the line passing through $3\hat{i}-5j+7\hat{k}$ and perpendicular to the plane $3 x-4 y+5 z=8$ is