Show that is perpendicular to

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

11. Show that ∣a⃗∣b⃗+∣b⃗∣a⃗|\vec{a}| \vec{b}+|\vec{b}| \vec{a} is perpendicular to ∣a⃗∣b⃗−∣b⃗∣a⃗|\vec{a}| \vec{b}-|\vec{b}| \vec{a}, for any two nonzero vectors a⃗\vec{a} and b⃗\vec{b}.

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