2 in 1 question... vector analysis?

Question

1. What is the difference between scalar area of a triangle and just an area of a triangle? 2. What is the formula for the area of a triangle using cross product?

Answer 1

1. The scalar area of a triangle is the same.
2. The cross product of two vectors returns the area (with direction perpendicular to each vector) of the regular parallelogram partially inscribed by the two vectors. Therefore the area of half of that parallelogram (the area of the inscribed triangle) is (1/2)(AXB)

Answer 2

Using cross product:-
a and b are vectors at angle θ
Area = (1/2) |a X b|, where a X b is a vector
Area = (1/2) |a| |b| sin θ
Area = (1/2) |b| |h| where h = a sin θ

Answer 3

1)♦ I don’t see any difference!
2)♥ A=0.5*|[V1*V2]|, where [V1*V2] is cross product!