Polar form of imaginary number

Question

can someone please help me with this:

Select k, soo that vector c = (11,1,k) linear combination of vectors a = (4,2,3) and b = (-1, 1, 2).

Thx

Answer 1

You can solve it like this:

(11,1,k) = a(4,2,3) + b(-1,1,2)

11=4a-b 11=4a-1+2a 12=6a a=2

1=2a+b 1=4+b b=-3

k=3a+2b k=6-6 k=0