Answer:
[tex]|u*v|=\sqrt{14}[/tex]
Step-by-step explanation:
From the question we are told that:
Two vectors
x=i-j+ k
y= 3i +2k
Generally the equation for Matrix of the Parallelogram is mathematically given by
[tex]x*y=[/tex][tex]\begin{vmatrix}i & j & k\\1 & 1 & 1\\3 & 0 & 2 \end{vmatrix}[/tex]
[tex]x*y=i(2-0)-j(2-3)+k(0-3)[/tex]
[tex]x*y=2i+j-3k[/tex]
Generally the magnitude of x*y is mathematically given as
[tex]|u*v|=|2i+j-3k|[/tex]
[tex]|u*v|=\sqrt{2^2+1^2+(-3)^2}[/tex]
[tex]|u*v|=\sqrt{14}[/tex]
