Question

. What is condition for two vectors to be perpendicular?​

Answer 1

Answer:

Two vectors A and B are parallel if and only if they are scalar multiples of one another. A = k B , k is a constant not equal to zero. Two vectors A and B are perpendicular if and only if their scalar product is equal to zero.

Answer 2

The condition for two vectors to be perpendicular is the scalar product of the two vectors must be equal to zero.

Explanation:

• The scalar product of two vectors is defined as the product of the magnitude of the two vectors and the cosine of the angle between them.
  $\overrightarrow{A}\cdot\overrightarrow{B}=\| \mathbf{A} \|\| \mathbf{B} \|\cos\theta$
  Where, $\theta$ is the angle between them.
• When they are perpendicular $\theta=90^{ \circ }$, which makes $\cos\theta =0$ and results in making the scalar product zero.