explain the geometrical significance to produt of two vectors write their proper line
Answers
..............HEY MATE HERE IS YOUR ANSWERS................
Magnitude of the vector products:-
The magnitude of vector product is given as,
IcI=IaIIbIsin0,
Direction of vector product - i have given in photo.....
The right-hand thumb rule is used in which we curl up the fingers of right hand around a line perpendicular to the plane of the vectors a and b and the curl the fingers in the direction from a to b, then the stretched thumb points in the direction of c.
Commutative property
Unlike the scalar product, cross product of two vectors is not commutative in nature.
Mathematically, for scalar products
a.b=b.a
but for vector products
axb b≠bxa
As we know, the magnitude of both the cross products a × b and b × a is the same and is given by absinθ; but the curling of the right-hand fingers in case of a × b is from a to b, whereas in case of (b × a) it is from b to a, as per which, the two vectors are in opposite directions.
Mathematically,
axb=-bxa
Distributive property
Like the scalar product, vector product of two vectors is also distributive with respect to vector addition. Mathematically,
ax(b+c)=axb=axc
------------Hopefully this will help u mate:--------------
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