Question Type 5: Finding distance between any two simple vectors Bootcamps

Find the distance between the points $\,(0,0)\,$ and $\,(5,12)\,$ in the plane.

Calculate the distance between the vectors $\,(1,1,4)\,$ and $\,(4,3,2)\,$.

Determine the distance between the points $(2,-3)$ and $(-4,5)$.

Show that the distance from the origin to the point $(x,y,z)$ is $\sqrt{x^2+y^2+z^2}\,$.

Find the distance between the points $(1,0,2)$ and $(0,1,2)$.

Compute the distance between the vectors $(-2,3,1)$ and $(4,-1,5)$.

Calculate the distance between $(3,7,-2)$ and $(-1,-3,4)$.

Compute the distance between $(-1,2,-3)$ and $(4,-2,1)$.

Express the distance between $(5,5)$ and $(t,t^2)$ as a function of $t$.

Find the distance between $\bigl(\tfrac12,-\tfrac13\bigr)$ and $\bigl(\tfrac23,\tfrac34\bigr)$ in the plane.

Find the distance between the points $(2\cos\theta,2\sin\theta)$ and $(2,0)$.

Express the distance between the points $(a,b)$ and $(b,a)$ in terms of $a$ and $b$.