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Exercise 104

Avg difficulty 2.5

Suppose v⃗=(1,0,−1)\vec{v} = (1,0,-1). Find

  1. proj⁡v⃗((0,2,1))\operatorname{proj}_{\vec{v}}\bigl( (0,2,1) \bigr)
  2. proj⁡v⃗((1,0,1))\operatorname{proj}_{\vec{v}}\bigl( (1,0,1) \bigr)
  3. proj⁡v⃗((4,−1,0))\operatorname{proj}_{\vec{v}}\bigl( (4,-1,0) \bigr)

Lebl, Notes on Diffy Qs, §10.5 Inner product and projections, exercise 104

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.