### Find the Projection (vector) of 2i − j + k on i − 2j + k

This is a question of CBSE Sample Paper - Class 12 - 2017/18.

You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

Last updated at Sept. 24, 2021 by Teachoo

This is a question of CBSE Sample Paper - Class 12 - 2017/18.

You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

Transcript

Question 11 Find the Projection (vector) of 2๐ ฬ โ ๐ ฬ + ๐ ฬ on ๐ ฬ โ 2๐ ฬ + ๐ ฬ Let a = 2๐ ฬ โ ๐ ฬ + ๐ ฬ and b = ๐ ฬ โ 2๐ ฬ + ๐ ฬ We need to find Projection (vector) of ๐ โ on ๐ โ Theory We know that Projection of ๐ โ on ๐ โ = 1/("|" ๐ โ"|" ) (๐ โ. ๐ โ) But here, we are asked projection (vector) So, we multiply projection by ๐ โ/|๐ โ | Projection (vector) of ๐ โ on ๐ โ = 1/|๐ โ | (๐ โ. ๐ โ) ร ๐ โ/|๐ โ | = ((๐ โ . ๐ โ ))/|๐ โ |^2 ร ๐ โ (๐ โ. ๐ โ) = (2 ร 1) + (โ1 ร โ2) + (1 ร 1) = 2 + 2 + 1 = 5 Magnitude of ๐ โ = โ(12+(โ2)2+12) |๐ โ | = โ(1+4+1) = โ6 Projection (vector) of ๐ โ on ๐ โ = ((๐ โ . ๐ โ ))/|๐ โ |^2 ร ๐ โ = 5/(โ6)^2 ร ( ๐ ฬ โ 2๐ ฬ + ๐ ฬ) = ๐/๐ ( ๐ ฬ โ 2๐ ฬ + ๐ ฬ)

CBSE Class 12 Sample Paper for 2018 Boards

Paper Summary

Question 1 Important

Question 2 Important

Question 3

Question 4

Question 5

Question 6 Important

Question 7 Important

Question 8

Question 9 Important

Question 10

Question 11 Important You are here

Question 12

Question 13 Important

Question 14 Important

Question 15

Question 16 Important

Question 17

Question 18 Important

Question 19

Question 20 Important

Question 21 Important

Question 22

Question 23

Question 24 Important

Question 25

Question 26 Important

Question 27

Question 28 Important

Question 29

Class 12

Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.