Definition:
Consider the two vectors and
. If the product of two vectors
and
is a vector then the multiplication is called a vector then the multiplication is called vector product (or) cross production. It is written as
×
. It is read as cross and it is defined as
where is the perpendicular unit vector of
&
.
CONCEPTUAL THEOREMS
4. In a ∆ABC, prove that by vector method, the area of triangle
6. By vector method prove that sin (A - B) = sin A cos B - cos A sin B
Proof: Let P(cos A, sin A) & Q (cos B, sin B) be any two points