Vectors – Calculate vector multiplication – Exercise 4534

Exercise

Given the vectors

a=(2,3,1)\vec{a}=(2,-3,1)

b=(3,1,2)\vec{b}=(-3,1,2)

c=(1,2,3)\vec{c}=(1,2,3)

Calculate

a×(b×c)\vec{a}\times(\vec{b}\times\vec{c})

(a×b)×c(\vec{a}\times\vec{b})\times\vec{c}

Final Answer


a×(b×c)=10i+13j+19k\vec{a}\times(\vec{b}\times\vec{c})=10\vec{i}+13\vec{j}+19\vec{k}

(a×b)×c=7i+14j7k(\vec{a}\times\vec{b})\times\vec{c}=-7\vec{i}+14\vec{j}-7\vec{k}

Solution

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