The magnitude of projection of (2i − j + k ) on (i − 2j + 2k ) is _______
CBSE Class 12 Sample Paper for 2020 Boards
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CBSE Class 12 Sample Paper for 2020 Boards
Last updated at April 8, 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