Question Type 5: Performing addition and subtraction on complex numbers Exercises

Compute the sum of the complex numbers $(-2+5i)$ and $(3-7i)$.

Compute the sum of the complex numbers $4+3i$ and $5-6i$.

Find the midpoint of the line segment joining the points $-2+7i$ and $6-3i$ in the Argand plane.

Let $z_1=3+4i$ and $z_2=-1+2i$. Find (a) $z_1+z_2$ and (b) $z_1-z_2$.

Calculate the difference $(7-2i)-(4+9i)$.

Evaluate $(1-2i)-(-3+4i)-(2+i)$.

Compute the sum of three complex numbers: $2+3i$, $-5+i$, and $4-7i$.

Given $z=2+5i$, translate the point on the Argand diagram by vector $-3-2i$. Find the image and plot both points.

A displacement of $5+2i$ is followed by one of $-3+6i$. Find the resultant displacement and plot both original displacements and the resultant on an Argand diagram.

Two force vectors are represented by complex numbers $6+2i$ and $-4+5i$. Determine the net force and represent it graphically on the Argand diagram.

The vertices of a triangle in the Argand plane are $z_1=1+2i$, $z_2=-3+i$, and $z_3$. Find $z_3$ so that the centroid of the triangle is at the origin. Then plot the triangle.

Let $A$ be at $2+3i$ and $B$ at $-1+i$. Given $B-C=4-5i$, find the complex number for $C$ and plot $A,B,C$ on an Argand diagram.