Calculate the dot product of vectors m and n if m = 2, n = 4, and the angle between them is 30 °

The scalar product of vectors is equal to the product of their lengths and the cosine of the angle between them:
vector a * vector b = | vector a | * | vector b | * cos∠ (vector a, vector b).
By condition | vector m | = 2, | vector n | = 4, cos∠ (vector m, vector n) = 30 degrees. Substitute the data on the value condition into the formula and find the dot product of the vectors m and n:
vector m * vector n = | vector m | * | vector n | * cos∠ (vector m, vector n) = 2 * 4 * cos∠30 = 8 * √3 / 2 = 8√3 / 2 = 4√3 …
Answer: vector m * vector n = 4√3.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.