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What is the cross and dot product? And what is "n cap" in cross product... a x b = absin@ "n cap" . Plz explain with example...

What is the cross and dot product? And what is "n cap" in cross product... a x b = absin@ "n cap" . Plz explain with example...

Grade:12

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
10 years ago

Hi Hasan,

 

Dot prodouct of two vectors is the operation on vectors which will yield you a scalar.

And cross roduct is an operation on vectors which will yield you another vector.

 

So axb = |a|*|b|*sinx*"n-cap", where "n-cap" is a unit vector perpendicular to the plane containing "a" and "b".

And a.b = |a|*|b|*cosx ----------(which is a scalar, as RHS has no vectors).

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

Hasan Ali
35 Points
10 years ago

thanks lot....

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