Tag: scalars and vectors

The distance between two points $(1,1)$ and $\left( {\dfrac{{2{t^2}}}{{1 + {t^2}}},\dfrac{{{{\left( {1 - t} \right)}^2}}}{{1 + {t^2}}}} \right)$ is 

The plane passing through the point $\left(-2,-2,2\right)$ and containing the line joining the points $\left(1,1,1\right)$ and $\left(1,-1,2\right)$ makes intercepts on the coordinates axes, the sum whose lengths is ?

The points $A(1,2,3); B-(-1,-2,-1); C(2,3,2)$ and $D(4,7,6)$ form 

30 consider at three dimensional figure represented by $xy{z^2} = 2$, then its minimum distance from origin is 

Perpendicular distance from the origin to the line joining the points $(a\cos{\theta},a\sin{\theta})(a\cos{\theta},a\sin{\theta})$ is

From which of the following the distance of the point $(1, 2, 3)$ is $\sqrt{10}$?

If the sum of the squares of the distance of a point from the three coordinate axes be $36$, then its distance from the origin is

The perimeter of the triangle formed by the points $(1,0,0),(0,1,0),(0,0,1)$ is 

If the distance of a point $(a,a,a)$ from the origin is $ \sqrt { 108 } $, then the value of $a$ is

If the extremities of a diagonal of a square are $(1, -2, 3)$ and $(4, 2, 3)$ then the area of the square is