phy
posted by samson .
Given three vectors
a⃗ =−i⃗ −4j⃗ +2k⃗
,
b⃗ =3i⃗ +2j⃗ −2k⃗
,
c⃗ =2i⃗ −3j⃗ +k⃗
, calculate
a⃗ ⋅(b⃗ ×c⃗ )

Given
a=<1,4,2>
b=<3,2,2>
c=<2,3,1>
bxc=
i j k
3 22
23 1
=<4,7,13>
so
a.(bxc)
=<1,4,2>.<4,7,13>
=4+2826
=6
Respond to this Question
Similar Questions

Calculus III Please Help
2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c. Must be shown for arbitrary vectors. I have tried to assign each vector (b,a,c) arbitrary … 
Vector Calculus
2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c. Must be shown for arbitrary vectors. Im sorry, I'm really stuck on this. I know that is a … 
Calculus and vectors
Explain how the vector C⃗(Going from the head of B⃗ to the head of A⃗) can be written in terms of vectors A⃗ and B⃗ Given the shape in this url: imgur dot com/5nT3V 
Calculus and Vectors
Show that proj(b⃗a⃗) =[(a⃗⋅b⃗)/(b⃗⋅b⃗)](b⃗) 
mitx 8.01x Classical Mechanics
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 … 
math calculus
You will often see proj (Vector a onto Vector b) written as projb⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗/ b⃗ ⋅b⃗ )*b⃗ . 
Physincs
You are given vectors A⃗ = 4.8 i^− 6.7 j^ and B⃗ =  3.4 i^+ 7.5 j^. A third vector C⃗ lies in the xyplane. Vector C⃗ is perpendicular to vector A⃗ and the scalar product of C⃗ with B⃗ … 
Vectors Math
You will often see proj (Vector a onto Vector b) written as proj b⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗ b⃗ ⋅b⃗ )b⃗ . 
physics
wo vectors A⃗ and B⃗ have magnitude A = 3.02 and B = 3.03. Their vector product is A⃗ ×B⃗ = 5.05k^ + 2.06 i^. What is the angle between A⃗ and B⃗ ? 
Pysics science
The resultant of vectors A⃗ and B⃗ has a magnitude of 20 units. A⃗ has a magnitude of 8 units, and the angle between A⃗ and B⃗ is 40o . Calculate the magnitude of B⃗