Question

If vectors →A and →B are orthogonal, what is the component of →B along the direction of →A? What is the component of →A along the direction of →B?

a) Component of →B along →A is zero; Component of →A along →B is zero.
b) Component of →B along →A is nonzero; Component of →A along →B is zero.
c) Component of →B along →A is zero; Component of →A along →B is nonzero.
d) Component of →B along →A is nonzero; Component of →A along →B is nonzero.

Answer 1

When vectors →A and →B are orthogonal, the component of →B along the direction of →A is zero and the component of →A along the direction of →B is also zero.

Step-by-step explanation:

When vectors →A and →B are orthogonal, it means that they are perpendicular to each other and form a 90-degree angle. The component of →B along the direction of →A is zero because they are perpendicular to each other. This means that →B does not have any projection onto →A. On the other hand, the component of →A along the direction of →B is also zero because they are orthogonal to each other, meaning →A does not have any projection onto →B.