If → a and → B Are Unit Vectors Such that → a × → B is Also a Unit Vector, Find the Angle Between → a and → B . - Mathematics

प्रश्न

If $\vec{a} and \vec{b}$ are unit vectors such that $\vec{a} \times \vec{b}$ is also a unit vector, find the angle between $\vec{a} and \vec{b}$ .

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उत्तर

$Let θ be the angle between \vec{a} and \vec{b} .$

$Given :$

$| \vec{a} \times \vec{b} | = 1$

$| \vec{a} | = 1$

$| \vec{b} | = 1$

$We know$

$| \vec{a} \times \vec{b} | = | \vec{a} | | \vec{b} | \sin θ$

$\Rightarrow 1 = (1) (1) \sin θ$

$\Rightarrow \sin θ = 1$

$\Rightarrow θ = \frac{π}{2}$

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Product of Two Vectors - Vector (Or Cross) Product of Two Vectors

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अध्याय 25: Vector or Cross Product - very short answers [पृष्ठ ३३]

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अध्याय 25 Vector or Cross Product
very short answers | Q 19 | पृष्ठ ३३

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If → a and → B Are Unit Vectors Such that → a × → B is Also a Unit Vector, Find the Angle Between → a and → B . - Mathematics

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