Question

A and B are two vectors in a plane at an angle of ${60}^{\circ }$ with each other. C is another vector perpendicular to the plane containing vectors A and B. which of the following relations is/are possible?

• A. $\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}$
• B. $\overrightarrow{A}+\overrightarrow{C}=\overrightarrow{B}$
• C. $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$
• D. $\overrightarrow{A}\times \overrightarrow{C}=\overrightarrow{B}$

Answer 1

The correct option is C

$\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$

As explained above, choices (a) and (b) are not possible. Since vector C is perpendicular to both vectors A and B, choice (c) is possible. Choice (d) is not possible because vector B is not perpendicular to vector A.