If the dot product of two vectors A and B is A what is reason?
Answers
Answer:
dot product
Explanation:
a.b = b.a
now this dot product is helpful for vectors
if a.b = b.a then a.b = a
Answer:
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is\( \vec{a} \).\( \vec{b} \) = |\( \vec{a} \)| |\( \vec{b} \)| \( \cos \theta \)
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is\( \vec{a} \).\( \vec{b} \) = |\( \vec{a} \)| |\( \vec{b} \)| \( \cos \theta \)where \( \theta \) is the angle between \( \vec{a} \) and \( \vec{b} \) and 0 ≤ \( \theta \) ≤ \( \pi \) as shown in the figure below.
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is\( \vec{a} \).\( \vec{b} \) = |\( \vec{a} \)| |\( \vec{b} \)| \( \cos \theta \)where \( \theta \) is the angle between \( \vec{a} \) and \( \vec{b} \) and 0 ≤ \( \theta \) ≤ \( \pi \) as shown in the figure below.dot product
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is\( \vec{a} \).\( \vec{b} \) = |\( \vec{a} \)| |\( \vec{b} \)| \( \cos \theta \)where \( \theta \) is the angle between \( \vec{a} \) and \( \vec{b} \) and 0 ≤ \( \theta \) ≤ \( \pi \) as shown in the figure below.dot productIt is important to note that if either \( \vec{a} \) = \( \vec{0} \) or \( \vec{b} \) = \( \vec{0} \), then \( \theta \) is not defined, and in this case
The scalar or dot product of two non-zero vectors \( \vec{a} \) and \( \vec{b} \), denoted by \( \vec{a} \).\( \vec{b} \) is\( \vec{a} \).\( \vec{b} \) = |\( \vec{a} \)| |\( \vec{b} \)| \( \cos \theta \)where \( \theta \) is the angle between \( \vec{a} \) and \( \vec{b} \) and 0 ≤ \( \theta \) ≤ \( \pi \) as shown in the figure below.dot productIt is important to note that if either \( \vec{a} \) = \( \vec{0} \) or \( \vec{b} \) = \( \vec{0} \), then \( \theta \) is not defined, and in this case\( \vec{a} \).\( \vec{b} \) = 0
Explanation: