The magnitude of projection of (2i − j + k ) on (i − 2j + 2k ) is _______
![Question 15 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 2](https://d1avenlh0i1xmr.cloudfront.net/3b874557-d469-4704-a8ec-9fbe0d78591c/slide10.jpg)
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at April 16, 2024 by Teachoo
Question 15 (OR 1st Question) The magnitude of projection of (2๐ ฬ โ ๐ ฬ + ๐ ฬ) on (๐ ฬ โ 2๐ ฬ + 2๐ ฬ) is _______ Projection of vector ๐ โ on ๐ โ = ๐/|๐ โ | (๐ โ. ๐ โ) Let ๐ โ = 2๐ ฬ โ ๐ ฬ + ๐ ฬ ๐ โ = ๐ ฬ โ 2๐ ฬ + 2๐ ฬ (๐ โ . ๐ โ) = (2 ร 1) + (โ1 ร โ2) + (1 ร 2) = 2 + 2 + 2 = 6 Magnitude of ๐ โ = โ(12+(โ2)2+22) |๐ โ | = โ(1+4+4) |๐ โ | = โ9 |๐ โ | = 3 Projection of ๐ โ on ๐ โ = 1/|๐ โ | (๐ โ. ๐ โ) = 1/3 ร 6 = 2 โด Magnitude of projection is 2 units