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Name: Provide Solution For R.D.Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 7 Sub Question 1 Maths Textbook Solution.
Uploaded: Mon, 2021-09-06 13:48
Description: Provide Solution For R.D.Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 7 Sub Question 1 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 23 Scalar or Dot Products Exercise 23.1 Question 7 Sub Question 1 Maths Textbook Solution.

Answers (1)

Answer: $\hat{i}+2\hat{j}+\hat{k}$

Hint: you must know the rules of finding vector from given dot product values

Given: dot product of $\hat{i}+\hat{j}-3\hat{k},\hat{i}+3\hat{j}-2\hat{k}$ and $2\hat{i}+\hat{j}+4\hat{k}$ are 0,5 and 8 respectively,

Solution: Let $a\hat{i}+b\hat{j}+c\hat{k}$ be the required vector

Give that,

$\begin{aligned} &\left(a \hat{\imath}+\widehat{b}_{j}+c \hat{k}\right) \cdot(\hat{\imath}+\hat{\jmath}-3 \hat{k})=0 \\ &a+b-3 c=0 \quad-----(1) \\ &(a \hat{\imath}+b \hat{\jmath}+c \hat{k}) \cdot(\hat{\imath}+\hat{\jmath}-3 \hat{k})=5 \\ &a+3 b-2 c=5 \quad-----(2) \\ &(a \hat{\imath}+b \hat{\jmath}+c \hat{k}) \cdot(2 \hat{\imath}+\hat{\jmath}+4 \hat{k})=8 \\ &2 a+b+4 c=8 \quad-----(3) \end{aligned}$