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 Class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer Question 37

Provide Solution for RD Sharma Class 12 Chapter 23 Scalar or Dot Products Exercise Very Short Answer Question 37

Answers (1)

best_answer

Answer:  \lambda = \frac{5}{2}

Given:  \overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}+\lambda \hat{\mathrm{j}}+\hat{\mathrm{k}} \& \overrightarrow{\mathrm{b}}=\hat{\mathrm{\imath}}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}   and  \vec{a} \& \vec{b}   are perpendicular

Hint: Use the formula of perpendicular vectors.

Solution: if vectors are perpendicular, then,

\begin{aligned} &\Rightarrow(2 \hat{\imath}+\lambda \hat{\jmath}+\hat{\mathrm{k}}) \cdot(\hat{\imath}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})=0 \\ & \end{aligned}

\Rightarrow 2-2 \lambda+3=0 \\

\Rightarrow-2 \lambda+5=0 \\

\Rightarrow-2 \lambda=-5 \\

\Rightarrow 2 \lambda=5 \\

\Rightarrow \lambda=\frac{5}{2}

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 Class 10, 12 board exams 2025 from April 7 to 11 for sports students
anam-khan

CBSE Class 12 history paper 2025 moderately difficult, tested students’ understanding
anam-khan

CBSE Class 12 Computer Science Exam Analysis 2025: Paper 'moderate', but 'tougher' than last three years

Latest Question