Modulus of vector a- vector b

= | Vector a- Vector b|

= under the root sign (vector a- vector B)?

= in the root symbol (|a|? +|b|？ -2|a||b|cosα)

Where: cosα is the included angle between vector a and vector b.

And "|a|, |b|" represents the modulus of vectors A and B, that is, the size of vectors.

note:

1, the vector is a directional line segment, and the modulus of the vector is equivalent to the length of this line segment;

2. The modulus of a vector is a non-negative real number, that is, the modulus of a vector is a number whose size can be compared;

3. The vector itself is a number containing directions, so the vector itself cannot be compared in size.

Extended data:

Vector:

In mathematics, vectors (also known as Euclidean vectors, geometric vectors and vectors) refer to quantities with magnitude and direction.

A vector can be imagined as a line segment with an arrow. The arrow indicates the direction of the vector; Line segment length: indicates the size of the vector. The quantity corresponding to a vector is called a quantity (called a scalar in physics), and a quantity (or scalar) has only a size and no direction.

Attributes of the vector:

There are no special rules for the operation of the modulus of a vector. Generally, the modulus of sum and difference of two vectors is calculated by cosine theorem.

Orthogonal decomposition method is used to synthesize multiple vectors. If modulus is needed, it is generally necessary to calculate the composite vector first.

Modulus is the generalization of absolute value in two-dimensional and three-dimensional space, which can be considered as the length of vector. Extending to high-dimensional space is called norm.

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