Back to Represent operations geometrically — Problem 1 · Task Set 11

Exercises: Represent Operations Geometrically on the Complex Plane

Show your work. Use exact values where possible. For polar form, express angles in degrees.

Grade 9·22 problems·~40 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-5
Work through problems with immediate feedback
A

Fluency Practice

1.

On the complex plane, addition is vector addition. If z=2+3iz = 2 + 3i and w=1+iw = 1 + i, compute z+wz + w by adding components. $z + w = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   $+ $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ii.

real part:
imaginary part: