Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution RD Sharma Class 12 Chapter Algebra of Vectors Exercise 22.6 Question 16 Maths.

Explain Solution RD Sharma Class 12 Chapter Algebra of Vectors Exercise 22.6 Question 16 Maths.

Answers (1)

best_answer

Answer:

\frac{3}{\sqrt{22}} \hat{\imath}-\frac{3}{\sqrt{22}} \hat{\jmath}+\frac{2}{\sqrt{22}} \hat{k}

Hint:

Use vector of a line  \mathrm{AB}=\frac{A \vec{B}}{|A \vec{B}|}

Given:

\vec{a}=(\hat{\imath}+\hat{\jmath}+\hat{k}), \vec{b}=(2 \hat{\imath}-\hat{\jmath}+3 \hat{k}), \vec{c}=(\hat{\imath}-2 \hat{\jmath}+\hat{k})

Solution:

\begin{aligned} &\text { Let } \vec{d}=2 \vec{a}-\vec{b}+3 \vec{c} \\\\ &=2(\hat{\imath}+\hat{\jmath}+\hat{k})+(2 \hat{\imath}-\hat{\jmath}+3 \hat{k})+3(\hat{\imath}-2 \hat{\jmath}+\hat{k}) \\\\ &=3 \hat{\imath}-3 \hat{\jmath}+2 \hat{k} \end{aligned}
 

\begin{aligned} &|\vec{d}|=\sqrt{(3)^{2}+(3)^{2}+(2)^{2}}=\sqrt{22} \\\\ &\hat{d}=\frac{\vec{d}}{|\vec{d}|} \Rightarrow \hat{d}=\frac{3 \hat{\imath}-3 \hat{\jmath}+2 \hat{k}}{\sqrt{22}} \end{aligned}

\hat{d}=\frac{3}{\sqrt{22}} \hat{\imath}-\frac{3}{\sqrt{22}} \hat{\jmath}+\frac{2}{\sqrt{22}} \hat{k}

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Latest Question