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  • Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products Exercise 23.1 Question 2 Sub Question 1 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products  Exercise 23.1 Question 2 Sub Question 1 Maths Textbook Solution.

Answers (1)

Answer:  \lambda =4

Hints:  you must know the rules of solving vectors.

Given:  for what value of \lambda , \vec{a} and \vec{b} are \perp to each other,

\vec{a}=\lambda \hat{i}+2\hat{j}+\hat{k} and \vec{b}= 4\hat{i}-9\hat{j}+2\hat{k}

Solution:\vec{a}=\lambda \hat{i}+2\hat{j}+\hat{k} and \vec{b}= 4\hat{i}-9\hat{j}+2\hat{k}

If \vec{a}.\vec{b}=0   them both are perpendicular to each other

\begin{aligned} &\vec{a} \cdot \vec{b}=(\lambda \hat{\imath}+2 \hat{\jmath}+\widehat{k})(4 \hat{\imath}-9 \hat{\jmath}+2 \hat{k})=0 \\ \end{aligned}

\begin{aligned} &=4 \lambda-18+2=0 \\ &=4 \lambda-16=0 \\ \end{aligned}

\begin{aligned} &4 \lambda=16 \\ &\Rightarrow \lambda=4 \end{aligned}

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