Find the magnitude and direction of resultant of two vectors without using the parallelogram of vector addition.
Let be two vectors acting
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Show that is perpendicular to .
We know that dot product of two perpendiculars vectors is zero. Therefore to prove to be perpendicular to we have to prove
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Define cross product of two vectors. Show that cross product of two vectors anti commute.
Cross product of two vectors is a vector whose magnitude is equal to product of the magnitude of each vector and sine of angle between them and is directed along the normal to the plane containing two vectors.