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Name: Provide solution for RD Sharma maths class 12 chapter 22 Algebra of vectors exercise 22.8 question 5 sub question 2 maths textbook solution
Uploaded: Sat, 2021-08-28 23:08
Description: Provide solution for RD Sharma maths class 12 chapter 22 Algebra of vectors exercise 22.8 question 5 sub question 2 maths textbook solution

Provide solution for RD Sharma maths class 12 chapter 22 Algebra of vectors exercise 22.8 question 5 sub question 2 maths textbook solution

Answers (1)

Answer: vectors are co-planar

Hint: If vectors are given express as linear combination

$\Rightarrow$ Given vectors as follows:

Let,

$\begin{aligned} &P=\hat{i}+\hat{j}+\hat{k} \\ &Q=2 \hat{i}+3 \hat{j}-\hat{k} \\ &R=-\hat{i}-2 \hat{j}+2 \hat{k} \\ &P=x Q+y R \\ &\hat{i}+\hat{j}+\hat{k}=x(2 \hat{i}+3 \hat{j}-\hat{k})+y(-\hat{i}-2 \hat{j}+2 \hat{k}) \\ &\hat{i}+\hat{j}+\hat{k}=\hat{i}(2 x-y)+\hat{j}(3 x-2 y)+\hat{k}(-x+2 y) \end{aligned}$