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  • Need solution for RD Sharma maths class 12 chapter 27 Straight Line in Space exercise Multiple choice question 7

Need solution for RD Sharma maths class 12 chapter 27 Straight Line in Space exercise Multiple choice question 7

Answers (1)

Answer: Correct answer is C.

Hint: Use formula of vector addition.

Given: a_{1} \hat{\imath}+a_{2} \hat{\jmath}+a_{3} \hat{k} \text { and } b_{1} i+b_{2} \hat{\jmath}+b_{3} \hat{k}

Solution: Line between two given points a_{1} \hat{\imath}+a_{2} \hat{\jmath}+a_{3} \hat{k} \text { and } b_{1} i+b_{2} \hat{\jmath}+b_{3} \hat{k} \text { is: }


\begin{aligned} &\Rightarrow a_{1} \hat{\imath}+a_{2} \hat{\jmath}+a_{3} \hat{k}+t\left(b_{1}-a_{1}\right) \hat{\imath}+\left(b_{2}-a_{2}\right) \hat{\jmath}+\left(b_{3}-3\right) \hat{k} \\\\ &\Rightarrow a_{1}(1-t) \hat{\imath}+a_{2}(1-t) \hat{\jmath}+a_{3}(1-t) \hat{k}+t\left(b_{1} \hat{\imath}+b_{2} \hat{\jmath}+b_{3} \hat{k}\right) \end{aligned}

So, the correct option is (c)

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