When the component of a vector A along the direction of vector B is ze

1.	When the component of a vector A along the direction of vector B is zero, what can you conclude about the two vectors?
Answer» Consider two vectors A and B such that the angle between them is θ. The component of the vector A along the direction of vector B is A cosθ. Since A cosθ = 0. It is possible if θ = 90°, because cos = 90° = 0. Thus, vector A and B are perpendicular to each other.

When the component of a vector A along the direction of vector B is zero, what can you conclude about the two vectors?

Answer»

Consider two vectors A and B such that the angle between them is θ.

The component of the vector A along the direction of vector B is A cosθ.

Since A cosθ = 0. It is possible if θ = 90°, because cos = 90° = 0.

Thus, vector A and B are perpendicular to each other.