What is the use of vector triple product?
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What is the use of vector triple product?
In geometry and algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors. The name “triple product” is used for two different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product.
What are the properties of scalar and vector product?
Properties of scalar product of two vectors are:
- (1) The product quantity→A . →B is always a scalar.
- (2) The scalar product is commutative, i.e. →A →B ≠ →B . →A.
- (3) The vectors obey distributive law i.e →A (→B + →C ) = →A . →B + →A .
- (4) The angle between the vectors θ = cos-1 [→A. →BAB
What is meant by scalar triple product?
By the name itself, it is evident that the scalar triple product of vectors means the product of three vectors. It means taking the dot product of one of the vectors with the cross product of the remaining two. It is denoted as. [a b c ] = ( a × b) .
Is vector triple product cyclic?
Cyclic property of a triple product Triple product is a three-dimensional product of Euclidean vectors. It is often represented geometrically in the form a˙(b×c) a ( ˙ b × c ) . The cyclic property of a triple product follows the permutation rule.
What is vector product of two vectors give its four properties?
Answer: 1) Cross product of two vectors is equal to the area of parallelogram formed by two vectors. 2) Area of triangle formed by two vectors and their resultant is equal to half the magnitude of cross product. 3) Vector product of two vectors is anti commutative.
What is cross product property?
What is the Cross Products Property of Proportions? The Cross Products Property of Proportions states that the product of the means is equal to the product of the extremes in a proportion.