The sum of vectors A with the length 4 units and B with the length 8 units is perpendicular to A. What is the angle in degrees) between A and B?

The angle between vectors A and B is 116.6°.

Explanation:

Geometric Addition of Vectors

The geometric construction of the situation stated in the question is shown in the image below.

The angle between vectors A and B is the sum of 90° and θ.

Angle θ can be found by working on the right triangle of side lengths 8 and 4, and angle θ.

We use the tangent ratio:

The opposite leg to θ is 4 and the adjacent leg is 8, thus:

Calculating the angle:

Thus the required angle is 90° + 26.6° = 116.6°

The angle between vectors A and B is 116.6°.

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

0.863333

86%

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