Question

Given $\overrightarrow{C}=\overrightarrow{A}\times \overrightarrow{B}$ and $\overrightarrow{D}=\overrightarrow{B}\times \overrightarrow{A}$, Then the angle between $\overrightarrow{C}$and $\overrightarrow{D}$ is.

• A. ${60}^{\circ }$
• B. ${60}^{\circ }$
• C. ${120}^{\circ }$
• D. ${180}^{\circ }$

Answer 1

The correct option is D ${180}^{\circ }$

Since $\overrightarrow{A}\times \overrightarrow{B}=–\overrightarrow{B}\times \overrightarrow{A},\overrightarrow{C}=–\overrightarrow{D},$ i.e. vectors $\overrightarrow{C}and\overrightarrow{D}$ are in opposite directions.
Hence angle between them is ${180}^{\circ }$.