The side of the rhombus ABCD is 4 cm, the angle C is 60 degrees. Find the dot product of vectors AB and AD.

univerkov | April 27, 2021 | education

Since ABCD is a rhombus, its opposite angles are equal.

Angle BAD = BCD = 60.

The lengths of all sides of the rhombus are equal, AB = AD = CB = CD = 4 cm.

Let us define the scalar product of vectors ↑ AB and ↑ AD.

↑ AB * ↑ AD = | ↑ AB | * | ↑ AD | * CosBAC = 4 * 4 * Cos60 = 16 * (1/2) = 8.

Answer: The scalar product of vectors is 8.

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