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

Answers (1)

Answer:  2

Hints:  you must know the properties of vectors.

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

Solution: \vec{b}=\hat{j}+2\hat{k}

\vec{b}=2\hat{j}+\hat{k}                                                                

\\\vec{a}.\vec{b}=\left ( \hat{j}+2\hat{k} \right ).\left ( 2\hat{i}+\hat{k} \right ) \\\\ = (0\times2)+(1\times0)+(1\times2)                                                                                \left|\begin{array}{c} \hat{\imath} \cdot \hat{\jmath}=0 \\ \therefore \hat{\jmath} \cdot \hat{k}=0 \\ \hat{k} \cdot \hat{k}=1 \end{array}\right|

=+2

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