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. 14, 2018 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
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11 You are here
Question 12
Question 13
Question 14
Question 15
Question 16
Question 17
Question 18
Question 19
Question 20
Question 21
Question 22
Question 23
Question 24
Question 25
Question 26
Question 27
Question 28
Question 29
CBSE Class 12 Sample Paper for 2018 Boards
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