If the scalar product of vectors A and B is equal to the product of their magnit

If the scalar product of vectors A and B is equal to the product of their magnitudes, what can be said about the angle between them?

If the scalar product of vectors A and B is equal to the product of their magnitudes, what can be said about the angle between them?

Step 1: Understand the scalar product (dot product) of two vectors A and B, which is given by the formula A · B = |A||B|cos(θ).
Step 2: Recognize that |A| is the magnitude (length) of vector A and |B| is the magnitude of vector B.
Step 3: Note that if A · B = |A||B|, it means the scalar product equals the product of their magnitudes.
Step 4: From the formula A · B = |A||B|cos(θ), if A · B equals |A||B|, then cos(θ) must equal 1.
Step 5: Understand that cos(θ) = 1 occurs when θ = 0°.
Step 6: Conclude that if the scalar product of vectors A and B equals the product of their magnitudes, the angle θ between them is 0°.

Scalar Product – The scalar product (or dot product) of two vectors A and B is defined as A · B = |A||B|cos(θ), where θ is the angle between the vectors.
Angle Between Vectors – The angle between two vectors can be determined using the cosine of the angle derived from the scalar product.