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> Dot product in dimension 2
Dot product in dimension 2
Formula
ab
the dot product of vectors in dimension 2
a1
the horizontal ordinate of the vector a
a2
the longitudinal coordinate of the vector a
b1
the horizontal ordinate of the vector b
b2
the longitudinal coordinate of the vector b
Formula description
In mathematics, the dot product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors) and returns a single number obtained by multiplying corresponding entries and then summing those products.
Calculator (
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a1
a2
b1
b2
ab
Precision
0
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9
Formula code
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ab = a1*b1+a2*b2
ab = a1*b1+a2*b2
ab = a1*b1+a2*b2
ab = a1*b1+a2*b2
ab = a1*b1+a2*b2
\mathbf{a}\cdot\mathbf{b} = a_1 b_1 + a_2 b_2
$ab = $a1*$b1+$a2*$b2
References
wikipedia:Dot product.
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