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Find the area of the parallelogram that has two adjacent sides uequalsnegative 4iplus4k and vequals2iplusnothingjplusnothingkFind Bold u times Bold v.Bold u times Bold vequals(nothing )Bold i plus (nothing )Bold j plus (nothing )Bold k​(Simplify your​ answers.)The area of the parallelogram is nothing.

Answer :

lublana

Answer:

8 square units

Step-by-step explanation:

We are given that

[tex]u=-4i+4k[/tex]

[tex]v=2i[/tex]

We have to find the area of parallelogram.

We know that area of parallelogram

Area of parallelogram=[tex]\mid u\times v\mid[/tex]

[tex]u\times v=\begin{vmatrix}i&j&k\\-4&0&4\\2&0&0\end{vmatrix}[/tex]

[tex]u\times v=-j(-8)=8j[/tex]

[tex]\mid u\times v\mid=\sqrt{(8)^2}=8[/tex]

Area of parallelogram=8 square units

Hence, the area of parallelogram=8 square units

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