Question

let v=-4i+3j. find a vector, w, that is twice the length of v and points in the same direction as v.

Answer 1

Suppose that your vector is:  v=ai+bj=<a,b>.
Then, suppose that you want to increase the length of v, by a factor of c, you can simply multiply v times c (multiply each component in v, times c).

Answer 2

vector $w=-8i+6j$

What is vector?

vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude.

According to question, $v=-4i+3j$

We have to find vector w, that is twice the length of v and points in the same direction as v.

So, vector $w=2$×$(-4i+3j)$

⇒$w=-8i+6j$

Hence we can conclude that vector  $w=-8i+6j$

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