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  • Provide Solution For R.D. Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 32 Sub Question 1 Maths Textbook Solution.

Provide Solution For R.D. Sharma Maths Class 12 Chapter 23 Scalar or Dot Products  Exercise 23.1 Question 32 Sub Question 1  Maths Textbook Solution.

Answers (1)

Answer:  \sqrt{13}

Hint:  You must know the rules of solving vectors.

Given:   Find \mid \vec{a}-\vec{b}\mid if \mid \vec{a}\mid =2 , \mid \vec{b}\mid =5,   & \vec{a} .\vec{b}=8

Solution:  \mid \vec{a}\mid =2,\mid \vec{b}\mid =5 &\vec{a} .\vec{b}=8

We know that,

\begin{aligned} &|\vec{a}-\vec{b}|^{2}=|\vec{a}|^{2}+|\vec{b}|^{2}-2(\vec{a} \cdot \vec{b}) \\ &|\vec{a}-\vec{b}|^{2}=(2)^{2}+(5)^{2}-2(8) \\ &|\vec{a}-\vec{b}|^{2}=4+25-16 \\ &\therefore|\vec{a}-\vec{b}|=\sqrt{13} \end{aligned}

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