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

October 10, 2021 | education

| 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.

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