For the following 3 vectors

A⃗ =2y^+3z^

B⃗ = 3 x^+2z^

C⃗ = 3 x^+3y^

Calculate the following:

(a) A⃗ ⋅(B⃗ +C⃗ )=

(b) D⃗ =A⃗ ×(B⃗ +C⃗ )

Dx=

Dy=

Dz=

(c) A⃗ ⋅(B⃗ ×C⃗ )=

(d) G⃗ =A⃗ ×(B⃗ ×C⃗ )

Gx=

Gy=
Gz=