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  • Explain solution RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 24 maths

Explain solution RD Sharma class 12 chapter Vector or Cross Product exercise 24.1 question 24 maths

Answers (1)

Answer: |\vec{a} \times \vec{b}|=(\vec{a} \cdot \vec{b}) \tan \theta

Hint:

Given: |\vec{a} \times \vec{b}|=(\vec{a} \cdot \vec{b}) \tan \theta

Solution:

|\vec{a} \times \vec{b}|=|\vec{a}||\vec{b}| \sin \theta             .........(1)

Also,

|\vec{a} \cdot \vec{b}|=|\vec{a}||\vec{b}| \cos \theta            ............(2)

Dividing equation (1) and (2)

\frac{|\vec{a} \times \vec{b}|}{|\vec{a} \cdot \vec{b}|}=\frac{|\vec{a}| \vec{b} \mid \sin \theta}{|\vec{a}||\vec{b}| \cos \theta}

\begin{aligned} &\frac{|\vec{a} \times \vec{b}|}{(\vec{a} \cdot \vec{b})}=\tan \theta \\\\ &|\vec{a} \times \vec{b}|=(\vec{a} \cdot \vec{b}) \tan \theta \end{aligned}

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