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  • Provide Solution For R.D. Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise Very Short Answer Type Question 15 Maths Textbook Solution.

Provide Solution For  R.D. Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise Very Short Answer Type  Question 15 Maths Textbook Solution.

Answers (1)

Answer: m=\pm \frac{1}{a}

Hint: You must know the rules of vector functions

Given: If \vec{a} is a non-zero vector of modulus a and m is a non-zero scalar such that m\vec{a} is a unit vector, find m.

Solution: \vec{a}is non-zero vector with modulus a and m

            Also m\vec{a} is unit vector

Therefore,

            \begin{aligned} &\qquad\mid m \vec{a} \mid=1 \\ \end{aligned}

            \begin{aligned} &\Rightarrow|m||\vec{a}|=1 \\ \end{aligned}

            \begin{aligned} \Rightarrow|m| a=1 \\ \end{aligned}

            \begin{aligned} |m|=\frac{1}{a} \\ \end{aligned}

               \begin{aligned} &\Rightarrow m=\pm \frac{1}{a} \end{aligned}

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