The parametric equation $X= V+ t(U -V)$ represents the line through $U$ and $V$.

78 Views Asked by At

Show that the parametric equation X = V +$t$ (U $-$ V)represents the line through U and V if U and V are any two vectors which are not equal.

How can I prove? So, if U and V are any two vectors which are equal then what can it be?