components vector 31 videos
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Area With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area -
Gravitational Fields
Physics Gravitation
Understanding and predicting gravitational fields.
gravitational field vector -
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication -
Isosceles Triangles
Geometry Triangles
How to define isosceles triangles, their components and how to determine their properties.
vertex angle leg base base angle converse remote interior angles -
Parametrizing a Line Segment
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a line segment that goes from point A to point B.
vector equation line segment parametric equations -
The Resultant of Two Forces
Precalculus Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
Forces Resultant Vector Addition Magnitude Direction The Pythagorean Theorem -
Navigation Problems
Precalculus Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.
navigation airplane flight airspeed heading groundspeed course wind speed wind direction vector addition magnitude direction -
Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line -
Perpendicular, Parallel and Skew Lines in Space
Precalculus Vectors and Parametric Equations
How to determine whether two lines in space are parallel or perpendicular.
perpendicular lines dot product direction vectors parallel lines scalar multiple skew lines -
The Angle Between Planes
Precalculus Vectors and Parametric Equations
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
normal vector the angle between planes perpendicular planes dot product scalar multiple parallel planes
