Dot Product
a = ⟨2.00, 1.00, 0.00⟩
|a| = 2.24
b = ⟨1.00, 2.00, 0.50⟩
|b| = 2.29
angle θ = —
dot product (a number)
= (2.24)(2.29)cos(36.7°)
a · b = 4.50
projection of b onto a (a vector — rose line)
length = |b| cos θ = —
link: a · b = |a| × (projection length) = —
Generic case — the projection makes a triangle.
vector a
vector b
projection of b onto a (rose line)
perpendicular drop from tip of b
drag to rotate · scroll to zoom