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Scalar product

Scalar product

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The scalar product of two vectors a and b, denoted a Β· b, is defined as | a | | b | cos ΞΈ.

Introduction to scalar product

The scalar product of two vectors a = xi + yj + zk and b = pi + qj + wk, denoted a Β· b, is defined as xp + yq + zw.

Scalar product and Cartesian coordinates

If two vectors a and b intersect at an angle of ΞΈ, then cosΞΈ = a Β· b/| a | | b | where a Β· b is the scalar product of vectors a and b.

Angle between two 2D vectors

If two vectors a and b intersect at an angle of ΞΈ, then cosΞΈ = a Β· b/|a| |b| where a Β· b is the scalar product of vectors a and b.

Angle between two 3D vectors

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