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Vector or Cross Product — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSVector or Cross Product1 Mark
Question
If $\vec{\text{a}}.\vec{\text{b}}=\vec{\text{a}}.\vec{\text{c}}$ and $\vec{\text{a}}\times\vec{\text{b}}=\vec{\text{a}}\times\vec{\text{c}}.\vec{\text{a}}\neq0,$ then:
  1. $\vec{\text{b}}=\vec{\text{c}}$
  2. $\vec{\text{b}}=\vec{0}$
  3. $\vec{\text{b}}+\vec{\text{c}}=\vec{0}$
  4. $\text{None of these}$
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