Question

how to find A vector dot B vector​

Answer 1

Answer:

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Explanation:

The dot product (also called the inner product or scalar product) of two vectors is defined as:

dot product definition

Where |A| and |B| represents the magnitudes of vectors A and B and theta is the angle between vectors A and B.

Dot product calculation

The dot or scalar product of vectors vector A and vector B can be written as:

dot product calculation

Example (calculation in two dimensions):

Vectors A and B are given by vector A and vector B. Find the dot product A dot B of the two vectors.

Solution:

solution

Example (calculation in three dimensions):

Vectors A and B are given by vector A and vector B. Find the dot product A dot B of the two vectors.

Solution:

solution

Answer 2

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Explanation:The dot product of two Euclidean vectors a and b is defined by. where θ is the angle between a and b. In particular, if the vectors a and b are orthogonal (their angle is π / 2 or 90°), then implies. At the other extreme, if they are codirectional, then the angle between them is zero