MECHANICS: VECTORS OR CROSS PRODUCT ON TWO OR THREE DIMENSION, CROSS PRODUCT OF TWO VECTORS AND APPLICATION OF CROSS PRODUCT.
FURTHER MATHEMATICS SSS2 THIRD TERM
WEEK 5
MECHANICS: VECTORS OR CROSS PRODUCT ON TWO OR THREE DIMENSION, CROSS PRODUCT OF TWO VECTORS AND APPLICATION OF CROSS PRODUCT
Content
Vector Product of two vectors
Given two vectors a
andb
whose directions are inclined at an angleθ
, their vector product is defined as a vector r
whose magnitude isab
sinθ
and whose directions is perpendicular to both a
andb
and also being positive relative to a rotation from them vector a
and b
also being positive relative to a rotation from the vectora
to the rectorb
.
The vector product of a
and b is designated
a x
b
Thus:
r
= …