(a) Compute ‖u‖, ‖v‖, and u ∙ v for the given vector in R3. (b) Verify the Cauchy-Schwarz inequality for the given pair of vector.

Reggie 2021-01-31 Answered

=3i+π+ck,v=4ijk, where is a constant.
(a) Compute u,v, and u×v for the given vector in R3.
(b) Verify the Cauchy-Schwarz inequality for the given pair of vector.

 

 

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pierretteA
Answered 2021-02-01 Author has 102 answers

Here u=3i+πj+ck,v=4ijk, where c is a constant. (a) ||u||=32+π2+c2=3+π2+c2
||v||=42+1+1=18
and
u×v=(3i+πj+ck)×(4ijk)=43πc.
(b) |u×v|=|43πc|3+π2+c218=||u||||v||.

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