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  • Explain Solution R.D.Sharma Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 39 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 39 Maths Textbook Solution.

Answers (1)

Answer:  \vec{b} is any vector.

Hint: You must know the rules of solving vectors.

Given: If \vec{a}.\vec{a}=0 and \vec{a}.\vec{b}=0. What can you conclude about the vector \vec{b}?

Solution:

Given that \vec{a}.\vec{a}=0

\Rightarrow \mid \vec{a}\mid^{2} =0

\Rightarrow \mid \vec{a}\mid =0

Also given that,

\vec{a}.\vec{b}=0

\begin{aligned} &\Rightarrow|\vec{a}||\vec{b}| \cos \theta=0[\text { where } \theta \text { is the angle between } \vec{a} \text { and } \hat{b}] \\ &\Rightarrow 0|\vec{b}| \cos \theta=0 \\ &\Rightarrow 0=0 \end{aligned}

 

So, it means that for any vector \vec{b},  the given equation \vec{a}.\vec{b}=0  is satisfied

 

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