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Question

What is the difference between the dot product and cross product of two vectors?

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Solution

Dot Product:
The dot product (a.b) of two vectors a and b is a scalar quantity​.

We can calculate the dot product as:
a.b=|a||b|cos(θ)
where:
Here, |a| is the magnitude of vector a.
|b| is the magnitude of vector b.
θ is the angle between a and b.

Cross Product:
The cross product (a×b) of two vectors a and b is another vector that is at right angles to both these vectors.

We can calculate the cross product as:
|a×b|=|a||b|sin(θ)
Here, |a| is the magnitude of vector a.
|b| is the magnitude of vector b.
θ is the angle between a and b.
The direction is given by right-hand rule.



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