The arithmetic of vectors comprises the mathematical manipulations of these unique quantities. Uniquely defined by their magnitude and direction, vectors are not your average numbers. They are subjected to their own set of rules when it comes to operations such as addition, subtraction, and multiplication by scalars. This is largely due to the directional aspect they possess, setting them apart from the usual number arithmetic.
| Topic | Problem | Solution |
|---|---|---|
| None | Perform the operation and simplify the result. \[… | The question is asking to subtract a complex number from a real number. The operation is straightfo… |
| None | Multiply and simplify the following complex numb … | Multiply the two complex numbers (-4-5i) and (1-i) similar to the multiplication of binomials. |
| None | Google Classroom Multiply and simplify the follow… | Let's denote the complex numbers as z1 = (-2+4i) and z2 = (5+i). |
| None | Complex numbers are used in electronics to descri… | Given the current, I = (9-4i) amperes and the resistance, R = (6+7i) ohms in the circuit. |
| None | Question Given a set of 8 elements, evaluate $\ma… | The problem is asking for the number of permutations and combinations of a set of 8 elements taken … |
| None | Add and simplify. \[ (8+8 i)+(4-7 i) \] | We are given two complex numbers, \(8+8i\) and \(4-7i\). |
| None | $(-2+3 i)(7-4 i)=$ | Given two complex numbers, \((-2+3 i)\) and \((7-4 i)\), we are to find the product of these two nu… |