Va = Vi + Vj, Vb = Vj, Vc = Vk, check if the vectors are Coplanar, Left hand triple or Right hand triple

coplanar: a•b×c = 0

right hand triple if c = k(a×b) where k is positive.
left if k is negative

Did you know?

Did you know that vectors in three-dimensional space can be determined as coplanar, left hand triple, or right hand triple? In order to determine this, we can use the equation Va = Vi + Vj, Vb = Vj, and Vc = Vk. If these vectors satisfy the equation while also lying on a common plane, they are considered coplanar. However, if they follow a left-handed orientation, with the thumb pointing towards the negative direction of the coordinate axis, they are classified as a left hand triple. Similarly, if they follow a right-handed orientation, with the thumb pointing towards the positive direction of the coordinate axis, they are classified as a right hand triple. Understanding these classifications can help in analyzing and solving problems involving vectors in three-dimensional space.