Let be three vectors such that

MATHEMATICS · Numerical · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c} be three vectors such that a⃗×b⃗=2(a⃗×c⃗)\vec{a}\times\vec{b}=2(\vec{a}\times\vec{c}). If ∣a⃗∣=1|\vec{a}|=1, ∣b⃗∣=4|\vec{b}|=4, ∣c⃗∣=2|\vec{c}|=2, and the angle between b⃗\vec{b} and c⃗\vec{c} is 60∘60^\circ, then find ∣a⃗⋅c⃗∣|\vec{a}\cdot\vec{c}|.

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