To find the angle between the vector R = 1.50 i + 2.50 j + 2.89 k and the x, y, and z axes, one can use the dot product, also known as the scalar product or inner product. The angle between two vectors can be calculated using the formula involving the dot product, which relates the cosine of the angle to the magnitudes of the vectors and their dot product. The axes can be represented by unit vectors along each axis, such as i, j, and k. The discussion highlights confusion around using tangent for angle calculations, emphasizing the importance of the dot product in determining angles correctly. Understanding these relationships is crucial for solving vector problems accurately.
