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

Answers (1)

Answer:  5

Hints: you must know the property of vectors.

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

Solution:

 \vec{a}=\hat{j}-\hat{k}

\vec{b}=2\hat{j}+3\hat{j}-2\hat{k}                                                                                \left|\begin{array}{l} \hat{\imath} \cdot \hat{\imath}=1 \\ \hat{\imath} \cdot \hat{\jmath}=0 \\ \hat{J} \cdot \hat{\jmath}=1 \\ \hat{\jmath} \cdot \hat{k}=0 \end{array}\right|

\vec{a}.\vec{b}=\left ( \hat{j}-\hat{k} \right )\left ( 2\hat{i}+3\hat{j}-2\hat{k} \right )

=3+2

=5

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