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Chapter 10: Q.18 (page 848)

Compute the area of the parallelogram determined by \(u\) and \(v\) where \(u=i\) and \(v=2j\).

Short Answer

Expert verified

The area of a parallelogram is \(2\) sq units.

Step by step solution

01

Given Information

The two vectors are \(u=i\) and \(v=2j\).

Area of parallelogram \(=|u\times v|\).

02

Find the area of a parallelogram

\(\text{Area }=\begin{vmatrix}i&j&k\\1&0&0\\0&2&0\end{vmatrix}\)

\(\text{Area }=|0i+0j+2k|\)

\(\text{Area }=2\)

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