Assertion (A): The vectors a =6 i +2 j -8 k; b =10 i -2 j -6 k; c =4 i -4 j +2 k represent the sides of a right angled triangle. Reason (R): Three…

Assertion (A) : The vectors \[\begin{aligned} & \vec{a}=6 \hat{i}+2 \hat{j}-8 \hat{k} \\ & \vec{b}=10 \hat{i}-2 \hat{j}-6 \hat{k} \\ & \vec{c}=4 \hat{i}-4 \hat{j}+2 \hat{k} \end{aligned} \] represent the sides of a right angled triangle. Reason (R) : Three non-zero vectors of which none of two are collinear forms a triangle if their resultant is zero vector or sum of any two vectors is equal to the third.