Find out if the sets of vectors are parallel or not, Mathematics

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Determine or find out if the sets of vectors are parallel or not.

(a) a^→ = (2,-4,1), b = (-6, 12 , -3)

(b) a^→ = (4,10), b = (2,9)

Solution

(a) These two vectors are parallel as b^→= -3a^→

(b) These two vectors are not parallel. This can be observed by noticing that 4 (1/2) = 2 and yet 10(1/2) = 5≠ - 9. Alternatively we can't make a? be a scalar multiple of b^→.

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