35i

35i is a purely imaginary complex number, equal to 0 + 35i, where i denotes the imaginary unit with i^2 = -1. In the complex plane, it lies on the positive imaginary axis at a distance of 35 from the origin.

Its magnitude (modulus) is 35, and its argument (angle) is pi/2 radians (90 degrees). In polar form it can be written as 35 e^{i pi/2} or as 35 cis(90°).

Algebraically, multiplying or adding with real numbers is straightforward: for any real a, a + 35i has real part a and imaginary part 35. Multiplying 35i by a real number r gives 35ri. The product of two general complex numbers (a + bi) and 35i equals -35b + 35ai, because i^2 = -1. The complex conjugate of 35i is -35i.

In contexts such as abstract algebra, complex analysis, or signal processing, 35i represents a point on the imaginary axis with magnitude 35. In electrical engineering, the imaginary unit is usually denoted by j rather than i, so expressions involving imaginary components are often written with j.

Overall, 35i is a standard example of a purely imaginary complex number used to illustrate basic operations and geometric interpretation in the complex plane.