Specialist2024 NHT Exam 2 Section A · Q14CAS active1 mark

Scalar product in an equilateral triangle

An equilateral triangle is spanned by the vectors $\tvec{a}$ , $\tvec{b}$ and $\tvec{c}$ , as shown below.

The scalar product $\tvec{a} \cdot \tvec{b}$ is equivalent to

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\frac{1}{2}|\tvec{a}|^2

-\frac{1}{2}|\tvec{a}|^2

|\tvec{a}|^2

\frac{\sqrt{3}}{2}|\tvec{a}|^2

-\frac{\sqrt{3}}{2}|\tvec{a}|^2

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