So k+2=3k gives k= 1.
So a=( 1, 1) so a×b= 1×2+ 1×2=4.
Solution: It is known that the direction of vector A is opposite to that of vector B, and b=(2, 1).
Let the vector a=(-2k, -k)
And | a | = 2 √ 5.
So 5k? =(2√5)?
K = 2, A and B are in opposite directions.
So the vector a=(-4, -2)a+bx=( 1+x, 2) should be parallel to c=(3, 4).
therefore
( 1+x)/3=2/4= 1/2
So 2( 1+x)=3.
2+2x=3
2x= 1
x= 1/2
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