1.

If \(\overrightarrow {{\rm{a}}} \) and \(\overrightarrow {{\rm{b}}} \) are vectors such that \(\overrightarrow {|{\rm{a}}} \left| { = 2,{\rm{\;}}\overrightarrow {|{\rm{b}}} } \right| = 7\) and \(\overrightarrow {{\rm{a\;}}} \times {\rm{\;\vec b}} = 3{\rm{\hat i}} + 2{\rm{\hat j}} + 6{\rm{\hat k}},\) then what is the acute angle between \(\overrightarrow {{\rm{a}}} \) and \(\overrightarrow {{\rm{b}}} \)?

A. 30°
B. 45°
C. 60°
D. 90°
Answer» B. 45°


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