Question

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 1

8 square units

Explanation:

We are given that

`u=-4i+4k`

`v=2i`

We have to find the area of parallelogram.

We know that area of parallelogram

Area of parallelogram=
`\mid u* v\mid`

`u* v=\begin{vmatrix}i&j&k\\-4&0&4\\2&0&0\end{vmatrix}`

`u* v=-j(-8)=8j`

`\mid u* v\mid=√((8)^2)=8`

Area of parallelogram=8 square units

Hence, the area of parallelogram=8 square units