cross product: |AxB|=|A||B|sin what is this and howshould i use this or when sho

Question

cross product: |AxB|=|A||B|sin what is this and howshould i use this or when should i use this. Dot Product: A.B=|A||B|cos A.B=AxBx+AyBy+AzBz  the following is said to used for vectors but can i have someexamples of when to apply these formulas to a question and what dothey mean. i also wanted to know if there are any other formulas relatedto vectors and how and when to use them cross product: |AxB|=|A||B|sin what is this and howshould i use this or when should i use this. Dot Product: A.B=|A||B|cos A.B=AxBx+AyBy+AzBz  the following is said to used for vectors but can i have someexamples of when to apply these formulas to a question and what dothey mean. i also wanted to know if there are any other formulas relatedto vectors and how and when to use them

Explanation / Answer

to find out the work done dot product is used for example w=F.S=FScos where is the anglebetween the the force and displacement vectors and also to find outthe angle between the two vectors. the same dot product may beused. based on the angle the value of work depends .ie ifangle is 0 degree work done is maximum and if it is 90 degree workdone is zero. the cross product is used to findout the area [magnitude] of aparallelogram and to find out torque torque= rXF dot product has no direction and cross product hasdirection.

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