Introduction to Vectors

Revise Vectors unit from G.C.E (A/L) Combined Mathematics.

Cross Product

is the unit normal vector to and . Direction is based on the right hand rule.

Cross products between , , are circular.

Note

Area of a parallelogram

Scalar Triple Product

iff , , are coplanar. Swapping any 2 vectors will negate the product.

Note

Volume of a parallelepiped with , , as adjacent edges =

Volume of a tetrahedron with , , as adjacent edges =

Vector Triple Product

Resulting vector lies in the plane that contains and