Question

Find the value(s) of a making v=7ai−2j parallel to w=a^2i+2j.

Answer 1

Two vectors v and w are parallel if their cross product is zero

Answer 2

So would you get the equation 7ai(a^2i)+(-2j)(2j) = 0 and then solve for a?

Answer 3

or, if the ratio of components are proportional

Answer 4

7a/a^2 = -2/2

solve a

Answer 5

I solved that for -7 but I need a second answer

Answer 6

i think 0 and -7

Answer 7

Thank you I did not even think 0 would be an option.

Answer 8

me neither lol
yes 0 is also an answer !

Answer 9

a^2+7a=0
a(a+7)=0