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Multiplication of a vector by a scalar
Multiplication of a vector by a scalar
Last updated at May 29, 2023 by Teachoo
Ex 10.2, 1 Compute the magnitude of the following vectors: π β = π Μ + π Μ + π Μ, π β= 2π Μ β 7π Μ β 3π Μ, π β = 1/β3 π Μ + 1/β3 π Μ β 1/β3 π Μπ β = π Μ + π Μ + π Μ = 1π Μ + 1π Μ + 1π Μ Magnitude of π β = β(12+12+12) |π β | = β3 β΄ Magnitude of π β = β3 π β = 2π Μ β 7π Μ β 3π Μ Magnitude of π β = β(22+(β7)2+(β3)2) |π β | = β(4+49+9) = β62 β΄ Magnitude of π β = β62 π β = 1/β3 π Μ + 1/β3 π Μ β 1/β3 π Μ Magnitude of π β = β((1/β3)^2+(1/β3)^2+((β1)/β3)^2 ) |π β | = β(1/3+1/3+1/3) = β(3/3) = β1 = 1 β΄ Magnitude of π β = 1