Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 18

Provide solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 18

Answers (1)

Answer: Both \vec{a} \; \& \; \vec{b}have same direction but different magnitude

Hint: Talk about \vec{a} \; \& \; \vec{b}

Given: If \vec{a} \; \& \; \vec{b} are collinear vector, then which of the following are incorrect?

Solution: If  \vec{a} \; \& \; \vec{b} are two collinear vectors then they are parallel

        Therefore, \vec{b}=\lambda \vec{a}

        \begin{aligned} &\text { If } \lambda=\pm 1 \text { then } a=\pm b\\\\ &\text { If } \vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k} \text { and } \vec{b}=b_{1} \hat{i}+b_{2} \hat{j}+b_{3} \hat{k} \text { then } \vec{b}=\lambda \vec{a} \end{aligned}

        \begin{aligned} &b_{1}=\lambda a_{1}, b_{2}=\lambda a_{2} \text { and } b_{3}=\lambda a_{3} \\\\ &\frac{b_{1}}{a_{1}}=\frac{b_{2}}{a_{2}}=\frac{b_{3}}{a_{3}}=\lambda \end{aligned}

Thus, respective component of \vec{a} \; \& \; \vec{b} proportional. However, vector \vec{a} \; \& \; \vec{b} have different direction.

So Statement D  is incorrect

That both \vec{a} \; \& \; \vec{b} have same direction but different magnitude.

Posted by

infoexpert26

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