Master this deck with 19 terms through effective study methods.
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They indicate directions along the x, y, and z axes.
It combines x and y components as U = U₁î + U₂ĵ.
It simplifies representation for computational programs like MATLAB.
They describe a vector's direction using angles with coordinate axes.
Use Ux = |U| cos(θx), Uy = |U| cos(θy), Uz = |U| cos(θz).
Unit vectors indicate direction only, while direction cosines include angles.
It can be expressed as U = 5î + 3ĵ.
It breaks down a vector into its individual x, y, and z equations.
It combines x, y, and z components as U = U₁î + U₂ĵ + U₃k.
It results in a scalar value based on magnitudes and the cosine of the angle between them.
Add corresponding components of the vectors together.
It produces a vector that is perpendicular to the plane formed by the two original vectors.
The vectors are perpendicular to each other.
It represents the direction and distance from one point to another in space.
Multiply each component of the vector by the scalar.
The dot product results in a scalar, while the cross product results in a vector.
It has a magnitude of one and indicates direction only.
Divide the position vector by its magnitude.
U · V = UxVx + UyVy + UzVz.