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Given r₁ = 3i - 2j+ k, r₂ = 2i-4j-3k, r,-i +2j+ 2k, find the magnitude of 2r₁ - 3r₂-5r. If r₂ = 2i-j+k, r₂ = i +3j-2k, r = -2i+j-3k and r₂ = 3i+2j+5k, find scalars a, b, c such that r = ar + br₂ + crs.

Given r₁ = 3i - 2j+ k, r₂ = 2i-4j-3k, r,-i +2j+ 2k, find the magnitude of 2r₁ - 3r₂-5r. If r₂ = 2i-j+k, r₂ = i +3j-2k, r = -2i+j-3k and r₂ = 3i+2j+5k, find scalars a, b, c such that r = ar + br₂ + crs.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given r₁ = 3i - 2j+ k, r₂ = 2i - 4j-3k, r = -i +2j+2k, find the magnitude of 2r₁ - 3r₂-5r. If r₁ = 2i-j+k₁ r₂ =i+3j-2k, r=-2i+j-3k and r₁=3i+2j+5k, find scalars a, b, c such that r₁ = ar + br₂ + crs. Find the dot product of the vectors and the angle between them. i. u=i+2j, v= 6i-8j; ii. u= (-3,1,2), v= (4.2,-5).
Transcribed Image Text:Given r₁ = 3i - 2j+ k, r₂ = 2i - 4j-3k, r = -i +2j+2k, find the magnitude of 2r₁ - 3r₂-5r. If r₁ = 2i-j+k₁ r₂ =i+3j-2k, r=-2i+j-3k and r₁=3i+2j+5k, find scalars a, b, c such that r₁ = ar + br₂ + crs. Find the dot product of the vectors and the angle between them. i. u=i+2j, v= 6i-8j; ii. u= (-3,1,2), v= (4.2,-5).
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