Three vectors a, b, and c are given.
(a) Find their scalar triple product
$\mathbf { a } \cdot ( \mathbf { b } \times \mathbf { c } )$ .
(b) Are the vectors coplanar? If not, find the volume of the parallelepiped that they determine.
$\mathbf { a } = \langle 3,0 , - 4 \rangle , \mathbf { b } = \langle 2,2,2 \rangle , \mathbf { c } = \langle 7,4,0 \rangle$

Question

Three vectors a, b, and c are given.
(a) Find their scalar triple product
 $\mathbf { a } \cdot ( \mathbf { b } \times \mathbf { c } )$ . 
(b) Are the vectors coplanar? If not, find the volume of the parallelepiped that they determine.
 $\mathbf { a } = \langle 3,0 , - 4 \rangle , \mathbf { b } = \langle 2,2,2 \rangle , \mathbf { c } = \langle 7,4,0 \rangle$

Quizplus · Accepted Answer

The Answer of Three vectors a, b, and c are given.
(a) Find their scalar triple product
 $\mathbf { a } \cdot ( \mathbf { b } \times \mathbf { c } )$ . 
(b) Are the vectors coplanar? If not, find the volume of the parallelepiped that they determine.
 $\mathbf { a } = \langle 3,0 , - 4 \rangle , \mathbf { b } = \langle 2,2,2 \rangle , \mathbf { c } = \langle 7,4,0 \rangle$

Three Vectors A, B, and C Are Given a⋅(b×c)\mathbf { a } \cdot ( \mathbf { b } \times \mathbf { c } )a⋅(b×c)

Three Vectors A, B, and C Are Given $\mathbf { a } \cdot ( \mathbf { b } \times \mathbf { c } )$