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 18 Maths.

Explain Solution RD Sharma Class 12 Chapter Algebra of Vectors Exercise 22.6 Question 18 Maths.

Answers (1)

Answer:

\frac{15}{\sqrt{10}} \hat{\imath}+\frac{5}{\sqrt{10}} \hat{\jmath}

Hint:

A vector having magnitude 1 and parallel to  \vec{a}=1 \frac{\vec{a}}{|\vec{a}|}

Given:

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

Solution:

If  \vec{c}  is the resultant of  \vec{a} \text { and } \vec{b}

\begin{aligned} &\vec{c}=(2 \hat{\imath}+3 \hat{\jmath}-\hat{k})+(\hat{\imath}-2 \hat{\jmath}+\hat{k}) \\\\ &\vec{c}=3 \hat{\imath}+\hat{\jmath}+0 \hat{k} \end{aligned}

Now, a vector having magnitude 5 and parallel to \vec{c}

\begin{aligned} &\frac{5 \vec{c}}{|\vec{c}|}=\frac{5(3 \hat{\imath}+\hat{j})}{\sqrt{3^{2}+1^{2}}} \\\\ &=\frac{15}{\sqrt{10}} \hat{\imath}+\frac{5}{\sqrt{10}} \hat{\jmath} \end{aligned}

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

Trending Articles/News

anam-khan

CBSE date sheet 2025 for Classes 10, 12 likely in November last week: Reports
anam-khan

CBSE allows Class 10, 12 students from disaffiliated schools to appear for board exam 2025 from same school
anam-khan

CBSE withdraws affiliation of 21 schools, downgrades 6 schools in two states; most in Delhi

Latest Question