Question

For what values of θ are the magnitudes of the scalar product and the vector product equal? Express your answers in degrees using three significant figures. Enter positive values from 0∘ to 180∘ in ascending order separated by a comma.

Answer 1

Answer:

45°

Explanation:

Let there are two vectors, A and B. The angle between the two vectors is θ.

The dot product of two vectors is equal to the vector product of two vectors.

$\left | \overrightarrow{A}.\overrightarrow{B} \right |=\left | \overrightarrow{A}\times \overrightarrow{B} \right |$

A B cosθ = A B Sinθ

tan θ = 1

θ = 45°

Thus, the angle between the two vectors is 45°