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)

best_answer

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 results 2024 later for 102 students over fake certificates; board issues show cause notice
anam-khan

What after CBSE Class 12 results 2024? From CUET UG to JEE Advanced, all you need to know
anam-khan

CBSE Results 2024: Maximum full marks scorers in Class 10 mathematics, 12th painting

Latest Question