any vector can be written as a unit vector multiplied by the mangintude of the vector. write each of the following vectors as the magnitude of the vector tiems the appropriate unit vector

Question

I keep trying this one and getting it wrong

<2x10^6, -7x10^6, 5x10^6)

the magnitude = 7280110.233 or 7.28x10^6

then you divide x, y, z by the magnitude, but none of my answers are right because the magnitude is wrong some how

Answer 1

Hi Rachel!

It looks like you have the vector v = <2,-7,5> but scaled up by a factor of 10^6.

Note that this factor of 10^6 or 1000000, will not affect the unit vector in the direction of v.

So if you feel comfortable finding the unit vector in the direction of v, use this for the given vector, but also scale up the result by 10^6, in addition to v's magnitude.

This may help in avoiding any rounding errors that may be causing issues with the more direct approach.

If you'd like to see some more details, just let me know. I'll be happy to help further. Thank you!