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If a→ and b→ are two non-zero vectors such that |a→×b→|=a→.b→, find the angle between a→ and b→. - Mathematics

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प्रश्न

If `veca` and `vecb` are two non-zero vectors such that `|veca xx vecb| = veca.vecb`, find the angle between `veca` and `vecb`.

योग

उत्तर

Given: `|veca xx vecb| = veca.vecb`

`\implies |veca||vecb| sin θ = |veca||vecb| cos θ`

`\implies` sin θ = cos θ

`\implies` tan θ = 1

θ = 45°

Hence, angle is 45°.

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