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  • Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products Exercise 23.1 Question 30 Sub Question 1 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products  Exercise 23.1 Question 30 Sub Question 1 Maths Textbook Solution.

Answers (1)

Answer:  3

Hint:  You must know the rules of solving vectors.

Given:   \left ( \vec{x}-\vec{a} \right ).\left ( \vec{x}+\vec{a} \right )=8

Solution: Given that \vec{a} is a unit vector.

\begin{aligned} &\Rightarrow|\vec{a}|=1 \rightarrow(1) \\ &(\vec{x}-\vec{a}) \cdot(\vec{x}+\vec{a})=8 \\ &|\vec{x}|^{2}-|\vec{a}|^{2}=8 \\ &|\vec{x}|^{2}-1^{2}=8 \\ &|\vec{x}|^{2}=9 \\ &|\vec{x}|=3 \end{aligned}

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