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http://www.rootmath.org | Linear Algebra This will be a basic introduction to vectors. Vectors communicate 2 pieces of information, ...

In this video, we realise that if the vectors are not free, then even if they have the same magnitude and direction, they may not be ...

In this video, we talk about the components of a vector in 3D. For reference, we use unit vectors along x, y, and z axes and ...

In this video, we discuss the concept of projection. We try to find the projection of a given vector on another. We then apply what ...

In this video, we familiarise ourselves with the formula for cross product of vectors. We look at a few scenarios and special cases.

In this video, we familiarise ourselves with the formula for dot product of vectors. We look at a few scenarios and special cases.

In this video, we learn how to find the equation of a line in 3D. We first look at the vector form - where it comes from and how to find ...

In this video, we derive the formula for the area of a parallelogram using the cross product. We then solve problems where we use ...

In this video, we learn how to find the adjoint of a given matrix. We first find minors corresponding to each element. From the set of ...

In this video, we learn how to find minors and cofactors corresponding to the elements of a determinant. We start off with minors ...

In this video, we share some observations on the domain and range of inverse trigonometric functions. We realise that the sets for ...

In this video, we learn how to find the angle between two lines in 3D. We first understand how to do this when the vector forms are ...

In this video, we discuss inequalities of multiplication and addition of vectors. Cauchy-Schwartz inequality says that the magnitude ...

In this video, we find the principal values of a few inverse trigonometric functions. The approach that we follow here is to figure out ...

We look at ways to get information about the angle between two vectors from their dot product. We find the angle between vectors ...

In this video, we derive the section formula for vectors for both internal and external division. We leverage the concept of ...

In this video, we look at an application of derivatives in the world of Economics. We're given the equations for total cost and total ...

In this video, we solve word problems involving system of equations using the matrix method. We first represent 2 scenarios in the ...

In this beautiful video, we first look at the 3D animation of 2 skew lines and try to get a feel of the minimum distance between them.

In this video, we talk about symmetric and skew symmetric matrices. We first look at examples of each and then understand the ...