The "Law of Cosines" comes from (v – w) · (v − w) = v • v − 2v • w + w • w: Cosine Law ||v - w||² = || v || ² – 2||v|| ||w|| cos 0 + ||w||². Draw a triangle with sides v and w and v-w. Which of the angles is ?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The "Law of Cosines" comes from (v − w) · (v − w) = v • v − 2v • w+w• w:
Cosine Law
|||v − w||² = ||v||² − 2||v|| ||w|| cos 0 + ||w||².
Draw a triangle with sides v and w and v-w. Which of the angles is 0?
Transcribed Image Text:- The "Law of Cosines" comes from (v − w) · (v − w) = v • v − 2v • w+w• w: Cosine Law |||v − w||² = ||v||² − 2||v|| ||w|| cos 0 + ||w||². Draw a triangle with sides v and w and v-w. Which of the angles is 0?
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