Question

find the angle created when the following vectors are placed with initial points together. round to the nearest hundredth.

Answer 1

To find the angle between two vectors A and B, we can use the dot product and the magnitudes of the vectors.

Step-by-step explanation:

To find the angle between two vectors A and B, we can use the formula: cos(theta) = (A · B) / (|A| * |B|), where · denotes the dot product and |A| and |B| denote the magnitudes of the vectors.

In this case, A = (122 cm, 145°) and B = (110 cm, 270°).

Converting the angle from degrees to radians, we get A = (122 cm, 2.53073 radians) and B = (110 cm, 4.71239 radians).

Using the formula, cos(theta) = (122 cm * 110 cm * cos(2.53073 - 4.71239)) / (122 cm * 110 cm), we can calculate the angle theta to be 119.1°.