Given that  vecC=vecA×vecB and vecD=vecB×vecA what is the angle between C and D?

Explanation:

Another Explanation (5): ```html

Explanation:

Given, \(\vec{C} = \vec{A} \times \vec{B}\) and \(\vec{D} = \vec{B} \times \vec{A}\). We know that the cross product is anti-commutative, meaning: \[\vec{B} \times \vec{A} = -(\vec{A} \times \vec{B})\] So, \(\vec{D} = - \vec{C}\). 😮 This implies that \(\vec{D}\) is a vector pointing in the opposite direction of \(\vec{C}\). The angle between two vectors pointing in opposite directions is 180°. 🤩 Therefore, the angle between \(\vec{C}\) and \(\vec{D}\) is 180°. 🎉 ```