Find the scalar product of vectors a and b if their lengths | a | = 3, | b | = 6, and the angle between the vectors is 60˚.
| April 25, 2021 | education
The scalar product of two vectors is a number equal to the product of the lengths of these vectors by the cosine of the angle between them.
Since from the condition | a | = 3, | b | = 6, and the angle between the vectors is 60˚, then:
a * b = | a | * | b | cos α;
a * b = 3 * 6 * cos 60˚ = 18 * 1/2 = 9;
Answer: a * b = 9.
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