10.2 Vectors In Space
Physical forces and velocities are not confined to the plane, so it is natural to extend the concept of vectors from two dimensional space to three dimensional space. In space, vectors are denoted by ordered triples.
v = 〈v₁, v₂, v₃〉
The zero vector is denoted by
0 = 〈0, 0, 0〉
Using the unit vectors, i, j, k, in the direction of the positive z axis the standard unit vector notation for v is
v = v₁i + v₂j + v₃k
Component form works the same way.
v = 〈v₁, v₂, v₃〉
The zero vector is denoted by
0 = 〈0, 0, 0〉
Using the unit vectors, i, j, k, in the direction of the positive z axis the standard unit vector notation for v is
v = v₁i + v₂j + v₃k
Component form works the same way.
Using Vectors to Determine Collinear Points
Forces of Equilibrium