Question

How to find dot product of two vectors

Answer 1

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In attachment.

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Answer 2

To find the dot product of two factors we find the product of x-component and the product the product of the y-component, and then find the sum of both.

$\vec a.\vec b=(a_xb_x)+(a_yb_y)$

We know that a vector is a phenomenon which has two independent properties: magnitude and direction.  

The dot product is also known as scalar product which tells us what amount of vector goes in the direction of another.