If for vectors a and b , a × b = 0 and . b = 0, then

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

If for vectors \(\overrightarrow{\mathrm{a}}\) and \(\overrightarrow{\mathrm{b}}\), \(\overrightarrow{\mathrm{a}}\) × \(\overrightarrow{\mathrm{b}}\) = 0 and .\(\overrightarrow{\mathrm{b}}\) = 0, then

1. \(\overrightarrow{\mathrm{a}} \| \overrightarrow{\mathrm{b}}\)
2. \(\overrightarrow{\mathrm{a}} \perp \overrightarrow{\mathrm{~b}}\)
3. \(\vec{a}=\overrightarrow{0} \text { or } \vec{b}=\overrightarrow{0}\)
4. none of these

Answer

(C) a = 0 or b = 0

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