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  • please solve RD sharma class 12 chapter 24 vector or cross product exercise Fill in the blanks question 2 maths textbook solution

please solve RD sharma class 12 chapter 24 vector or cross product exercise Fill in the blanks question 2 maths textbook solution

Answers (1)

best_answer

|B|=3

Hint Use formula,

\therefore|\vec{a} \times \vec{b}|^{2}+(\vec{a} \cdot \vec{b})^{2}=|A|^{2}|B|^{2}

Given:

|\vec{a} \times \vec{b}|^{2}+(\vec{a} \cdot \vec{b})^{2}=144

We know,

\begin{aligned} &|\vec{a} \times \vec{b}|^{2}+(\vec{a} \cdot \vec{b})^{2}=|A|^{2}|B|^{2} \\ \end{aligned}

\begin{aligned} &144=|A|^{2}|B|^{2} \\ &144=(4)^{2}|B|^{2} \\ \end{aligned}

\begin{aligned} &|B|^{2}=\frac{144}{16} \\ &|B|^{2}=9 \\ &|B|=3 \end{aligned}

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