In a rhombus ABCD ∠ABC = 40 °. Find the angles between the vectors: 1) AB and AD.
| June 24, 2021 | education
In a rhombus ABCD ∠ABC = 40 °. Find the angles between the vectors: 1) AB and AD. 2) AB and DA. 3) AB and CD. 4) AB and AC. 5) CB and BD. 6) AC and BD. 7) AD and BC.
To determine the angle between vectors, it is tedious to align the beginning of the vectors at one point.
The angle between vectors AB and AD = 180 – 40 = 140.
The angle between vectors AB and DA = 180 – 140 = 40.
The angle between the vectors AB and CD = 18, since they are directed in the opposite direction.
The angle between vectors AB and AC = 140/2 = 700.
The angle between the vectors CB and BD = 140 + 20 = 160.
The angle between vectors AB and BD = 90.
The angle between the vectors AD and BC = 0, since they coincide in direction.
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