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If the vector function overrightarrow rm F = rm hat a...

This question belongs to Engineering Maths Calculus
Calculus
?

If the vector function
\[\overrightarrow {\rm{F}} = {{\rm{\hat a}}_{\rm{x}}}\left( {3{\rm{y}} - {{\rm{k}}_1}{\rm{z}}} \right) + {{\rm{\hat a}}_{\rm{y}}}\left( {{{\rm{k}}_2}{\rm{x}} - 2{\rm{z}}} \right) - {{\rm{\hat a}}_{\rm{z}}}\left( {{{\rm{k}}_3}{\rm{y}} + {\rm{z}}} \right)\]
is irrotational, then the values of the constants k1, k2 and k3 respectively, are

Answer & Solution
Correct Answer: Option B
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