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Additive Inverse

"Inverses, like the additive inverse or multiplicative inverses, are important for understanding how to cancel terms when solving for variables in equations and formulas. When a number is added to its ...

Adding Vectors

"The first operation we learn with vectors is addition. Adding vectors can be done two ways with the geometric representation. Both of these methods help us understand what it means to add two vectors ...

Adding Complex Numbers

"Subtracting and adding complex numbers is the same idea as combining like terms. In an expression, the coefficients of i can be summed together just like the coefficients of variables. If an expressi ...

Absolute Value Equations

"Solving for a variable in absolute value equations follows different rules than when we solve multi-step equations. When solving absolute value equations, most of the time we get more than one possi ...

Absolute Value

"Sometimes we need to use only positive numbers, and the absolute value is a useful tool for this purpose. When you see an absolute value in a problem or equation, it means that whatever is inside the ...

45 45 90 Triangles

"A 45 45 90 triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees. Many times, we can use the Pyt ...

3x3 Determinant

"Methods for computing a 3x3 determinant are important and are used when defining the cross product. Finding a 3x3 determinant is not as computationally heavy as finding the determinant of a larger sq ...

3D Vector Operations

"Although they are similar to 2D vector operations, it is good to get practice doing 3D vector operations. 3D vector operations include addition and scalar multiplication, the dot product and the calc ...

3D Coordinate System

"With vectors, we begin to work more with the 3D coordinate system. In the 3D coordinate system there is a third axis, and in equations there is a third variable. We will work with vectors in the 3D c ...

2x2 Determinant

"Determinants are useful properties of square matrices, but can involve a lot of computation. A 2x2 determinant is much easier to compute than the determinants of larger matrices, like 3x3 matrices. T ...

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