It is known that a = (1,0) and B = (2,1). When k is the value, ka-b is parallel to a + 3B. When parallel, are they in the same direction or in the opposite direction? (A and B are vectors)

It is known that a = (1,0) and B = (2,1). When k is the value, ka-b is parallel to a + 3B. When parallel, are they in the same direction or in the opposite direction? (A and B are vectors)

Ka-b is parallel to a + 3B
ka-b=(k,0)-(2,1)=(k-2,-1)
a+3b=(1,0)+(6,3)=(7,3)
parallel
therefore
3(k-2)=-7
k=-7/3+2
k=-1/3
ka-b=(-7/3,-1)
a+3b=(7,3)=-3[ka-b]
So it's the opposite

Elden Ring Premiere

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