Let a × b = ⟨2, −1, 5⟩ and a × c = ⟨1, 4, 2⟩.
(a) Find a × (a + b − c).
(b) Find a · ⟨2, −1, 5⟩ and a · ⟨1, 4, 2⟩.
(c) Find a unit vector parallel to a.
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Let a × b = ⟨2, −1, 5⟩ and a × c = ⟨1, 4, 2⟩. (a) Find a × (a + b − c). (b) Find a · ⟨2, −1, 5⟩ and a · ⟨1, 4, 2⟩. (c) Find a unit vector parallel to a.
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