Question

Determine whether the given vector is parallel.

Answer 1

a = < -5, 3, 7 >, b = < 6, -8, 2 >

Answer 2

two vectors will be in the same direction parallel if they are some scalar multiple of one another...

Answer 3

Is there an algebraic way to see that?

Answer 4

vector a equals some constant k times vector b, then they are parallel vectors
a = k * b

Answer 5

a = < -5, 3, 7 >, b = < 6, -8, 2 >

a = k * b
< -5, 3, 7 > = k*< 6, -8, 2 >

Answer 6

So, lets say, to check my understanding, a = < 2, 2, 2 > and b = < 4, 4, 4 >
Then this would be parallel?

Answer 7

yes, each entry on those are 2 times the other one

Answer 8

Okay, I got it now. Thanks for the help :)

Answer 9

welcome