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Question

How do you find the cross product and dot product ?


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Solution

Finding dot product:

The dot product of two vectors α and β can be found using the formula

A·B=|A|×|B|×cos(θ)

Where

|A| is the magnitude of vector A

|B| is the magnitude of vector B

θ is the angle between vector A and B.

Finding cross product:

The cross product of two vectors α and β can be found using the formula

A×B=|A||B|sin(θ)n

Where

|A| is the magnitude of vector A

|B| is the magnitude of vector B

θ is the angle between vector A and B.

n is the unit vector which is at the right angle to both the vectors.

Hence, we can find the cross product by the formula A×B=|A||B|sin(θ)n and dot product by the formula A·B=|A|×|B|×cos(θ).


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