1.7 KiB
1.7 KiB
| title |
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| Dot Product |
Dot Product
The dot product of vectors is also know as the “scalar” product.
Formula
If a and b are two vectors meeting at a point, whose moduli are |a| and |b| respectively and θ is the angle between them, then the “dot” or “scalar” product of the two vectors is given as:
a.b = |a||a| cosθ
Also, if the two vectors (a and b) are given in terms of their unit vectors, where
a = x1i + y1j
and
b = x2i + y2j
Their dot product is given as:
a.b = (x1i + y1j) * (x2i + y2j)
Since i and j are unit vectors (equivalent to one), then
a.b = (x1 * x2) + (y1 * y2)