Question

The vectors 3a-2b-4c, -a+2c, -2a+b+3c are

• A. linearly dependent
• B. linearly independent
• C. collinear
• D. none

Answer 1

The correct option is A linearly dependent

$Box=\left|\begin{array}{ccc}3& -2& -4\\ -1& 0& 2\\ -2& 1& 3\end{array}\right|=3(0-2)+2(-3+4)-4(-1-0)=-6+2+4=0$
$\therefore$ Given vectors are coplanar Given vectors are linarly dependent.