Ex 10.2, 1 - Compute magnitude of vectors: a = i + j + k - Ex 10.2

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Ex 10.2, 1 Compute the magnitude of the following vectors: 𝑎﷯ = 𝑖﷯ + 𝑗﷯ + 𝑘﷯, 𝑏﷯= 2 𝑖﷯ − 7 𝑗﷯ – 3 𝑘﷯, 𝑐﷯ = 1﷮ ﷮3﷯﷯ 𝑖﷯ + 1﷮ ﷮3﷯﷯ 𝑗﷯ − 1﷮ ﷮3﷯﷯ 𝑘﷯ 𝑎﷯ = 𝑖﷯ + 𝑗﷯ + 𝑘﷯ = 1 𝑖﷯ + 1 𝑗﷯ + 1 𝑘﷯ Magnitude of 𝑎﷯ = ﷮12+12+12﷯ 𝑎﷯﷯ = ﷮3﷯ ∴ Magnitude of 𝑎﷯ = ﷮3﷯ 𝑏﷯ = 2 𝑖﷯ – 7 𝑗﷯ – 3 𝑘﷯ Magnitude of 𝑏﷯ = ﷮22+ −7﷯2+ −3﷯2﷯ 𝑏﷯﷯ = ﷮4+49+9﷯ = ﷮62﷯ ∴ Magnitude of 𝑏﷯ = ﷮62﷯ 𝑐﷯ = 1﷮ ﷮3﷯﷯ 𝑖﷯ + 1﷮ ﷮3﷯﷯ 𝑗﷯ − 1﷮ ﷮3﷯﷯ 𝑘﷯ Magnitude of 𝑐﷯ = ﷮ 1﷮ ﷮3﷯﷯﷯﷮2﷯+ 1﷮ ﷮3﷯﷯﷯﷮2﷯+ −1﷮ ﷮3﷯﷯﷯﷮2﷯﷯ 𝑐﷯﷯ = ﷮ 1﷮3﷯+ 1﷮3﷯+ 1﷮3﷯﷯ = ﷮ 3﷮3﷯﷯ = ﷮1﷯ = 1 ∴ Magnitude of 𝑐﷯ = 1

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