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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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Unit Vector and Zero Vectors Unit Vector Any vector along with magnitude of 1, that is || u → || = 1, is called a unit vector. Zero Vectors The vector w → = (
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