Question

started once

Answer 1

\(\large\color{black}{ \vec{a} =(2,3,4) }\) \(\large\color{black}{ \vec{b} =(4,3,2) }\)

find the magnitude of \(\large\color{black}{ \vec{c} }\) if \(\large\color{black}{ \vec{c} =\vec{a}\times \vec{b} }\)

Answer 2

i will try it here....

Answer 3

\(\large\color{black}{ c_x=3\cdot2-4\cdot3=6-12=-6 }\)
\(\large\color{black}{ c_y=4\cdot4-2\cdot2=16-4=10 }\)
\(\large\color{black}{ c_z=2\cdot3-2\cdot4=6-12=-6 }\)

\(\large\color{black}{ \vec{c}=(-6,10,-6) }\)

Answer 4

\(\large\color{black}{ ||\vec{c}||=\sqrt{36+100+36}=\sqrt{172} }\)
and whatever that simplifies to

Answer 5

am i doing it right?

Answer 6

misswrote for c_z, the 2•4 part is really 3•4
apologize for typo

Answer 7

\[\left| c \right|=\sqrt{\left( -6 \right)^2+12^2+\left( -6 \right)^2}=6\sqrt{6}\]

Answer 8

oh, yeah, my mistake it is 12 not 10.

i said 16-4=10 xD