dorrry1581 dorrry1581
  • 23-06-2021
  • Mathematics
contestada

Two vectors 1=i-j+ k and = 3i +2k form the adjucent sides of Parallelogram determines Area of triangle

Respuesta :

okpalawalter8
okpalawalter8 okpalawalter8
  • 24-06-2021

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]

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