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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise very Short Answer type Question 50 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise very Short Answer type Question 50 Maths Textbook Solution.

Answers (1)

Answer: \left [ -12,8 \right ]

Hint: You must know the rules of vector functions

Given: If \mid \vec{a}\mid =4 and -3\leq \lambda \leq 2, Writer range of \mid \lambda \vec{a}\mid

Solution: -3\leq \lambda \leq 2

\begin{gathered} \Rightarrow-3 \times|\vec{a}| \leq \lambda|\vec{a}| \leq 2 \times|\vec{a}| \\ \end{gathered}

Value of \begin{gathered} |\vec{a}|=4 \\ \end{gathered}

\begin{gathered} \therefore \Rightarrow-3 \times 4 \leq \lambda|\vec{a}| \leq 2 \times 4 \\ \end{gathered}

\begin{gathered} \Rightarrow-12 \leq \lambda|\vec{a}| \leq 8 \\ \end{gathered}

Range of \begin{gathered} \lambda|\vec{a}|=>[-12,8] \end{gathered}

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