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## Main Question or Discussion Point

I have a vector

Now I want to find

Now what does this mean? Is this allright? Should I not care about the vector directions when differentiating and just use the magnitudes

**v**= a**i**+b*x***j**Now I want to find

**a**.So I apply chain rule and differentiate dv/dx * dx/dt = b**j*** V*x*= b**j***a**i**??Now what does this mean? Is this allright? Should I not care about the vector directions when differentiating and just use the magnitudes

**a**= ab , if yes then why? And what will be the direction of the acceleration then?