Show that each of the following triads of vectors is coplanar :
Formula : -
and
then,
(iii) Three vectors are coplanar if and only if a⃗.(b⃗×c⃗) = 0
Given: -
we know that three vector a⃗,b⃗,c⃗ are coplanar if their scalar triple product is zero
we have
now, using
= 1(15 – 12) + 2( – 10 + 4) + 3(6 – 3)
= 3 – 12 + 9 = 0