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Scalar product - Projection
Scalar product - Projection
Last updated at April 21, 2021 by Teachoo
Ex 10.3, 3 Find the projection of the vector π Μ β π Μ on the vector π Μ + π Μ .Let π β = π Μ β π Μ = 1π Μ β 1π Μ + 0π Μ π β = π Μ + π Μ = 1π Μ + 1π Μ + 0π Μ Projector of vector π β on π β = π/|π β | (π β . π β) Now, π β . π β = (1 Γ 1) (β1 Γ 1) + (0 Γ 0) = 1 + (β1) + 0 = 0 Also, Magnitude of π β = β(12+12+02) |π β | = β(1+1+0) = β2 Projection of π β on π β = 1/|π β | (π β . π β) = 1/β2 (0) = 0