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  • Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products Exercise 23.1 Question 2 Sub Question 4 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products  Exercise 23.1 Question 2 Sub Question 4 Maths Textbook Solution.

Answers (1)

Answer:  -3

Hints:  you must know the rules of solving vectors.

Given: \vec{a}=\lambda \hat{i}+3\hat{j}+2\hat{k} and \vec{b}=\hat{i}-\hat{j}+3\hat{k}

Solution:  \vec{a}=\lambda \hat{i}+3\hat{j}+2\hat{k} and   \vec{b}=\hat{i}-\hat{j}+3\hat{k}

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

\begin{aligned} &=(\lambda \hat{\imath}+3 \hat{\jmath}+2 \widehat{k})(\hat{\imath}-\hat{\jmath}+3 \hat{k})=0 \\ \end{aligned}

\begin{aligned} &\lambda-3+6=0 \\ &\lambda+3=0 \\ &\lambda=-3 \end{aligned}

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