Final answer:
To evaluate the expression 'a - 1' in polar form, consider 'a' as a scalar affecting a vector. Multiply the vector components by 'a - 1' and convert the resulting Cartesian coordinates to a polar magnitude and angle.
Step-by-step explanation:
To evaluate the expression a - 1 in polar form, we need to consider that a is simply a scalar, and the subtraction of 1 would imply a scalar adjustment to a polar vector. In polar coordinates, we have a radial coordinate (distance to the origin) and an angle. If we assume that vector  = AxÎ + Ayà + AzÊ is in Cartesian coordinates, and we want to alter it by the scalar a, we multiply each component of the vector by a. The vector antiparallel to vector  is obtained by multiplying by a = -1, resulting in – = – AxÎ – Ayà – Azk.
For example, if we have an arbitrary vector  = 3Î + 4à and we want to compute a - 1 for a = 5, this means we take the vector  and scale it by 4 since 5 - 1 = 4. The resulting vector in polar form is 4Â, which corresponds to 4*(3Î + 4Ã), which simplifies to 12Î + 16Ã, or in polar form, a magnitude of √(122 + 162) and an angle tan−1(16/12).
To evaluate the expression a - 1 in polar form, we need to express the number a in polar coordinates. In polar coordinates, a complex number is represented by its magnitude (r) and angle (θ) from the positive real axis. In this case, we assume a to have a magnitude of r and an angle of θ in polar form. Therefore, the expression a - 1 in polar form would be r(cosθ - 1 + i sinθ).