If a, b and c represent the position vectors of the points with co-ordinates

Question

If \(\vec{a},\vec{b}\) and \(\vec{c}\)represent the position vectors of the points with co-ordinates (2, -10,2), (3,1,2) and (2,1,3) respectively, find the value of \(\vec{a}\times(\vec{b}\times\vec{c}).\)

Answer 1

Here,

\(=\hat{i}(-10+10)-\hat{i}(2-2)+\hat{k}(-10+10)=0\)