1. Application of Vector product

2. Area of a triangle?

3. Example-1
Find the area of triangle ABC given A(-1,2,3), B(2,1,4) and C(0,5,-1)

4. Area of Parallelogram

5. Example-2
Calculate the area of parallelogram ABCD for A(-1, 2, 2), B(2, -1, 4) and C(0,1,0)

6. Volume of Parallelepiped

7. Triple Scalar Product
a.(bxc) is known as triple scalar product.

8. Example-3:
Let a = 2i+3j-k,
b= 6i-3j+2k and
c= 4i+3j-k,
Find the Triple Scalar Product. (?????)

9. Example-4
Verify that the vector a = i+j+k is perpendicular to the cross product aXb where b = 2i-3j+k.

10. Question of the day!!!!!! Example-5
By making use of the vector product, derive the sine rule.
Recall that Sine Rule: