CBSE Class 11-science Answered
Explain vector product using diagrams.
Asked by ABHILASHA | 08 Nov, 2019, 11:17: PM
Expert Answer
Definition of Vector Product
A vector product of two vectors a and b is a vector c such that
(i) magnitude of c = |c| = ( a b sinθ ) where a and b are magnitudes of a and b and θ is the angle between the two vectors.
(ii) c is perpendicular to the plane containing a and b.
(iii) if we take a right handed screw with its head lying in the plane of a and b and the screw perpendicular to this plane,
A vector product of two vectors a and b is a vector c such that
(i) magnitude of c = |c| = ( a b sinθ ) where a and b are magnitudes of a and b and θ is the angle between the two vectors.
(ii) c is perpendicular to the plane containing a and b.
(iii) if we take a right handed screw with its head lying in the plane of a and b and the screw perpendicular to this plane,
and if we turn the head in the direction from a to b, then the tip of the screw advances in the direction of c.
This right handed screw rule is illustrated in Figure(a)
Alternately, if one curls up the fingers of right hand around a line perpendicular to the plane of the vectors a and b and
if the fingers are curled up in the direction from a to b, then the stretched thumb points in the direction of c,
as shown in Figure (b)
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