Question

if vectors (k+1,k+2) and (4,6) are parallel to each other, find the value of k ?

Answer 1

given,

the vectors are parallel

slope of the vectors will be equal

therefore,

$\frac{6}{k + 2} = \frac{4}{k + 1} \\ = > 4 k + 8 = 6k + 6 \\ = > 6k - 4k = 8 - 6 \\ = > 2k = 2 \\ = > k = 1$