Question

the magnitude of area of parallelogram formed by the adjacent sides of vectors A=3i+2j and B=2i-4j is........

Answer 1

refer pic for answer. ...

Answer 2

Answer:  

The magnitude of area of parallelogram is 16.

Solution:

Given: The adjacent sides of vectors $\mathrm{A}=3 \mathrm{i}+2 \mathrm{j} \text { and } \mathrm{B}=2 \mathrm{i}-4 \mathrm{j}$

The formula for area of parallelogram of vector sides is  

Area of parallelogram $=|A \times B|$

Here A and B are the two sides vectors of the parallelogram.

Let A = 3i+2j and B = 2i-4j

So  

Area of parallelogram

$=\left|\begin{array}{ccc}{i} & {j} & {k} \\ {3} & {2} & {0} \\ {2} & {-4} & {0}\end{array}\right|$

$=i(0)-j(0)+k(-12-4)$

$=|-16 k|=16 k$

Thus the magnitude of area of parallelogram is 16.