यदि  और , तो  और  के बीच का कोण कितना है?

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संकल्पना:

यदि θ सदिशों   और  के बीच का कोण है और तब

गणना:

माना सदिशों   और  के बीच का कोण θ है

     ....(i)

     ....(ii)

(i) × 2 - (ii) करने पर हमें प्राप्त होता है

सदिश  का मान समीकरण (i) में रखने पर हमें प्राप्त होता है

⇒ 

अब, 

इस्तेमाल की गई अवधारणा के अनुसार

⇒ cosθ = 0

⇒ θ = cos-10

⇒ 

∴   और बीच का कोण  है।

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