Question

When is cosine of θ equal to 1 for two vectors?

Options:
A. When vectors are parallel
B. When vectors are perpendicular
C. When vectors are anti-parallel
D. When vectors have the same magnitude

Answer 1

The cosine of θ is equal to 1 for two parallel vectors.

Step-by-step explanation:

The cosine of θ is equal to 1 for two vectors when they are parallel to each other.

When two vectors are parallel, the angle between them is 0 degrees. In this case, the cosine of 0 degrees is 1, which means that the cosine of θ is equal to 1.

For example, if vector A = (3, 0) and vector B = (6, 0), they are parallel vectors because they have the same x-components and different y-components. The angle between them is 0 degrees, and the cosine of 0 degrees is 1.