Formula : –
(iii)Three vectors \(\vec a,\,\vec b\) and \(\vec c\) are coplanar if and only if
\(\vec a.(\vec b\times\vec c)=0\)
Given: -
we know that three vector \(\vec a,\,\vec b,\,\vec c\) are coplanar if their scalar triple product is zero
\([\vec a,\,\vec b,\vec c]\) = 0
We have
= 1(10 – 42) – 2(15 – 35) – 1(18 – 10)
= 0.
Hence, the Given vector are coplanar.
