Vector is said to be a quantity that helps to represent through forms of magnitude and direction. This vector may either look like an arrow which may point towards any direction of object.
The scalar triple product of three vectors a, b and c is represented as (a × b) ⋅c. This is said to be a scalar product, which is similar to that of dot product and helps to evaluate to single number. The scalar product turns out to be an important aspect as it comes with absolute value | (a × b) ⋅c| which is said to be the volume of parallelepiped spanned by a, b and c.
The triple product is known to be an important concept when it comes to vector calculus. This product has three vectors and is defined in three dimensions. There are two different types of triple products:
Properties of scalar triple product
x⃗.(y⃗ x z⃗) = (x⃗ x y⃗). z⃗
x⃗.(y⃗ x z⃗) = y⃗. (z⃗ x x⃗) = z⃗. (x⃗ x y⃗)
x⃗. (y⃗x z⃗ ) = – x⃗. (z⃗ x y⃗)
a⃗.(b⃗ ×c⃗ )= ax ayaz
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