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What is the geometric meaning of the product of the number of vectors? If there is any physical knowledge involved, please speak in plain English. What is the geometric meaning of the product of the number of vectors? If physical knowledge is involved, please speak in plain English.
The quantity product a • b is the product of the length of a and the projection of b in the direction of a ||cos@.
The product product a•b is the product of the length of a and the projection of b in the direction of a |b|cos@.
How to determine the value of direction vector as A=(a, b), then how to determine the relationship between a and b? Is the sum or product equal to a constant?
Direction vector is not a constant vector, there is no unique answer, you do not have to specify a rigid algorithm, only it can be calculated as a direction vector. You can always set a + b =1 or other rules to determine a direction vector, but you sometimes do not facilitate the solution, such as known straight.
What is Constant Vector
Constant value only, no direction
Vector has value and direction
0
(Square of abscissa + square of ordinate), in the square
= Under the root (2*2+4*4)= Root 20=2 times Root 5
(Square of abscissa + square of ordinate), in the square
= Under the root (2*2+4*4)= root 20=2 times root 5
Can you use point numbers between vectors and constants As above! The actual title is "1. Vector a = vector a ". Would you like to ask this right
In mathematics, the product of quantities (dot product; scalar product, also called scalar product, dot product, dot product) is a binary operation that accepts two vectors on a real number R and returns a scalar of a real number. It is the standard inner product of Euclidean space.
Point multiplication is the operation of two vectors. You can not use point numbers between vectors and constants
When two vectors are multiplied, when the inner product (quantity product, dot product) and the outer product (cross product) are used
This question is equivalent to adding and subtracting two quantities, when to add and when to subtract. Point multiplication and cross multiplication are two different operations, using point multiplication or cross multiplication depends on what you want to calculate. For example, v =ω× r (linear velocity, angular velocity relationship), by physical knowledge, this multiplication is cross multiplication; w = f × r, by physical knowledge, this multiplication is point multiplication.
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