Question 11 - CBSE Class 12 Sample Paper for 2018 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Last updated at Sept. 24, 2021 by Teachoo
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Find the Projection (vector) of 2i β j + k on i β 2j + k
This is a question of CBSE Sample Paper - Class 12 - 2017/18.
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Question 11
Find the Projection (vector) of 2π Μ β π Μ + π Μ on π Μ β 2π Μ + π Μ
Let a = 2π Μ β π Μ + π Μ
and b = π Μ β 2π Μ + π Μ
We need to find Projection (vector) of π β on π β
Theory
We know that Projection of π β on π β = 1/("|" π β"|" ) (π β. π β)
But here, we are asked projection (vector)
So, we multiply projection by π β/|π β |
Projection (vector) of π β on π β = 1/|π β | (π β. π β) Γ π β/|π β |
= ((π β . π β ))/|π β |^2 Γ π β
(π β. π β) = (2 Γ 1) + (β1 Γ β2) + (1 Γ 1)
= 2 + 2 + 1
= 5
Magnitude of π β = β(12+(β2)2+12)
|π β | = β(1+4+1)
= β6
Projection (vector) of π β on π β = ((π β . π β ))/|π β |^2 Γ π β
= 5/(β6)^2 Γ ( π Μ β 2π Μ + π Μ)
= π/π ( π Μ β 2π Μ + π Μ)
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
