🧩Vectors are quantities that have both magnitude and direction.
➕Vector addition involves adding the corresponding components of two vectors.
➖Vector subtraction involves subtracting the corresponding components of two vectors.
✖️The cross product of two vectors results in a new vector perpendicular to both input vectors.
↔️The angle between two vectors can be found using the dot product and the magnitudes of the vectors.
What are vectors?
—Vectors are quantities that have both magnitude and direction.
How do you add vectors?
—To add vectors, you add the corresponding components of the vectors.
What is the cross product of vectors?
—The cross product of two vectors results in a new vector perpendicular to both input vectors.
How do you find the angle between two vectors?
—The angle between two vectors can be found using the dot product and the magnitudes of the vectors.
What operations can be performed on vectors?
—Operations that can be performed on vectors include addition, subtraction, dot product, and cross product.
00:13Introduction to vectors and the power system of particles.
01:58The concept of vector equality and conditions for equality.
05:11Example of a vector and checking if it is a vector.
07:44Calculating the magnitude of a vector using its components.
11:16Finding the angle between two vectors using the dot product.
13:00Calculating the angle between two vectors using inverse trigonometric functions.
15:27Multiplication of vectors.
18:33Determination of the resultant vector when the magnitude of two vectors is the same.
