Question

Calculate the scalar product of the following vectors.
Given three vectors $a=\{2,3,-5\},b=\{3,0,1\},andc=\{4,-3,2\}.$ Find the coordinates and the length of the vector $d=3a+b-c.$

Answer 1

$d=3a+b-c=3(2,3,-5)+(3,0,1)-(4,-3,2)$

$d=(5,12,-16)$

$|d|=\sqrt{5^2+{12}^2+{16}^2}=\sqrt{425}units$