zelaznyrachel2309 zelaznyrachel2309
  • 11-02-2020
  • Mathematics
contestada

Find the area of the parallelogram that has adjacent sides Bold u equals 3 Bold i minus Bold j plus Bold ku=3i−j+k and Bold v equals 3 Bold j minus 2 Bold kv=3j−2k.

Respuesta :

Hashirriaz830
Hashirriaz830 Hashirriaz830
  • 13-02-2020

Answer:

10.86

Step-by-step explanation:

area of parallelogram is equal to║[tex]u[/tex]×[tex]v[/tex]║

solving

now we calculate the cross product

[tex]\left[\begin{array}{ccc}i&j&k\\3&-1&1\\0&3&-2\end{array}\right][/tex]

=[tex]-1i-6j+9k[/tex]

the area of parallelogram is:

║[tex]u[/tex]×[tex]v[/tex]║=[tex]=\sqrt{-1^2-6^2+9^2}[/tex]

           =10.86

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