Vectors a=[-3,2] and vector b=[6,t-2]. Determine t so that a and b become parallel?

I really appreciate some help :)

1 Answer
Kalit Gautam
Apr 21, 2018

Since #veca # and #vecb# originate form origin ; if they are parallel then #vecb # must be a generated from #veca#
#ie# #vecb# is a scalar multiple of #veca#.

Explanation:

So #vecb = lambdaveca# ; { #lambda# is some scalar}

#rArr[6,t-2]=lambda[-3,2] #

#rArr[6,t-2]=[-3lambda,2lambda]#

#rArr 6=-3lambda rArr lambda = -2#

And now #t-2=2lambda rArr t-2 = -4#

#:.t=-2#

Finally #vecb=[6,-4]# and it is parallel to #veca#.

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