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  • Explain solution RD Sharma class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 12 maths

Explain solution RD Sharma class 12 chapter 23 Scaler and Dot Product exercise Multiple choice question 12 maths

Answers (1)

Answer:

Option (b)   0 \leq \theta \leq \frac{\pi}{2}

Hint:

You must know the formula of  \vec{a} \cdot \vec{b}=|\vec{a}||\vec{b}| \cos \theta  and range of  \theta \text { in } \cos \theta 

Given:

\theta is the angle between \vec{a} \text { and } \vec{b}, \vec{a} \cdot \vec{b} \geq 0

Solution:

\begin{aligned} &\vec{a} \cdot \vec{b} \geq 0 \\\\ &|\vec{a}||\vec{b}| \cos \theta \geq 0 \\\\ &\cos \theta \geq 0 \quad[\because \vec{a} \cdot \vec{b}=|\vec{a}||\vec{b}| \cos \theta] \end{aligned}

0 \leq \theta \leq \frac{\pi}{2}

Hence, option (b) is correct

 

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