The angle between two vectors vec"a" and vec"b" with magnitudes sqrt(3) and 4, respectively, and vec"a" * vec"b" = 2sqrt(3) is ______.

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KollegeApply · Accepted Answer

The angle between two vectors vec"a" and vec"b" with magnitudes sqrt(3) and 4, respectively, and vec"a" * vec"b" = 2sqrt(3) is pi/3. Explanation: Here, given that |vec"a"| = sqrt(3) |vec"b"| = 4 And vec"a" * vec"b" = 2sqrt(3) $\therefore$ From scalar product, we know that `vec"a" * vec"b" = |vec"a"||vec"b"| cos theta $\Rightarrow$ 2sqrt(3) = sqrt(3) * 4 cos theta $\Rightarrow$ cos theta = (2sqrt(3))/(sqrt(3) * 4) = $\frac{1}{2}$ $\therefore$ theta = pi/3`

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