logo

Ask Questions, Get Answers

X
 
Home  >>  TN XII Math  >>  Vector Algebra

Find the centre and radius of the following spheres : $| \overrightarrow{r}-(\overrightarrow(2i)-\overrightarrow(j)+\overrightarrow{4k})|=5$

1 Answer

Toolbox:
  • Vector equation of a sphere with centre $ \overrightarrow c$ and radius $a$ is $|\overrightarrow r-\overrightarrow c|=a$ When the centre is at the origin, the vector equation is $|\overrightarrow r|=a$ Cartesian equation is $ (x-c_1)^2+(y-c_2)^2+(z-c_3)^2=a^2$ where $(c_1, c_2, c_3 )$ is the centre.
$|\overrightarrow r-(2\overrightarrow i-\overrightarrow j+4\overrightarrow k)|=5$ pv of centre $\overrightarrow c=2\overrightarrow i-\overrightarrow j+4\overrightarrow k$ i.e., $c(2, -1, 4)$ and radius 5.
answered Jun 18, 2013 by thanvigandhi_1
 

Related questions

...