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  • Need solution for RD Sharma maths class 12 chapter Vector or Cross Product exercise 24.1 question 11

Need solution for RD Sharma maths class 12 chapter Vector or Cross Product exercise 24.1 question 11

Answers (1)

Answer         : 6

Hint                : To solve this we use \vec{a}\; \&\; \vec{b} formula

Given              : |\vec{a}|=2 ;|\vec{b}|=5 \text { and }(\vec{a} \times \vec{b})=8 \text { find } \vec{a} \cdot \vec{b}

Solution         : |\vec{a} \times \vec{b}|=|\vec{a}| \cdot|\vec{b}| \sin \theta

\begin{aligned} &8=2 \times 5 \sin \theta \\\\ &8=10 \sin \theta \\\\ &\sin \theta=\frac{8}{10}=\frac{4}{5} \end{aligned}

\begin{aligned} &\vec{a} \cdot \vec{b}=|\vec{a}||\vec{b}| \cos \theta \\\\ &=2 \times 5 \times \frac{3}{5} \\\\ &=6 \end{aligned}

 

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