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VECTOR ALGEBRA — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVECTOR ALGEBRA1 Mark
Question
If $\big|\vec{\text{a}} \times \vec{\text{b}}\big|^{2} + \big|\vec{\text{a}} . \vec{\text{b}}\big|^{2} = 400 \text{ and } \big|\vec{\text{a}}\big| = 5,$ then write the value of $\big|\vec{\text{b}}\big|.$
✓

Answer

$\text{a}^{2} \text{b}^{2} \sin^{2} \theta + \text{a}^{2} \text{b}^{2} \cos^{2} \theta = 400$
$\Rightarrow |\vec{\text{b}}| = 4$

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