Question
If , show that
x
=
x
=
x
.
Answer :
Word Count : 322
We are given that: \[ \vec{a} + \vec{b} + \vec{c} = 0 \] We need to prove that: \[ \vec{a} \times \vec{b} = \vec{b} \times \vec{c} = \vec{c} \times \vec{a} \] ### Step 1: Expressing One Vector in Terms of Others From the given equation: \[ \vec{c} = -(\vec{a} + \vec{b}) \] ### Step 2: Compute \(\vec{a} \times \vec{b}\) Taking the cross product on ____ ____ _________ ___ _____ ______ ___ ____.
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We are given that: \[ \vec{a} + \vec{b} + \vec{c} = 0 \] We need to prove that: \[ \vec{a} \times \vec{b} = \vec{b} \times \vec{c} = \vec{c} \times \vec{a} \] ### Step 1: Expressing One Vector in Terms of Others From the given equation: \[ \vec{c} = -(\vec{a} + \vec{b}) \] ### Step 2: Compute \(\vec{a} \times \vec{b}\) Taking the cross product on ____ ____ _________ ___ _____ ______ ___ ____.
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