Question

Two vectors ( \overrightarrow{A} ) and ( \overrightarrow{B} ) are such that ( \overrightarrow{A} + \overrightarrow{B} = \overrightarrow{C} ) and ( A^{2} + B^{2} = C^{2} ). Which of the following is correct ?

• A. (a) ( \overrightarrow{A} ) is parallel to ( \overrightarrow{B} )
• A. (b) ( \overrightarrow{A} ) is anti-parallel to ( \overrightarrow{B} )
• A. (c) ( \overrightarrow{A} ) is perpendicular to ( \overrightarrow{B} )
• A. (d) ( \overrightarrow{A} ) and ( \overrightarrow{B} ) are equal in magnitude

Answer 1

(c)

$\overrightarrow{A}$ and $\overrightarrow{B}$ is perpendicular.