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  • Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 23

Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 23

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Answer: [0,6]

Hint: Find interval of \left | \lambda \vec{a} \right |

Given: If  |\vec{a}|=3 \text { and }-1 \leq \lambda \leq 2  then  \left | \lambda \vec{a} \right |  lies in

Solution: \left | \lambda \vec{a} \right |=?

               |\vec{a}|=3 \quad-1 \leq \lambda \leq 2

               \begin{aligned} &0 \leq \lambda \vec{a} \leq 2 \\\\ &0 \leq 3 \lambda \leq 2 \\\\ &0 \leq \lambda \leq 6 \\\\ &\lambda \vec{a} \in[0,6] \end{aligned}

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