Question

u = 6i + 7j − k. Find a unit vector in the direction of u

Answer 1

\[unit ~vector~u=\frac{ vector~u }{\left| vector~u \right| }\]
\[\left| u \right|=\sqrt{6^2+7^2+(-1)^2}\]

Answer 2

i need answer in vector form < 1, 2 ,3 >

Answer 3

The magnitude of the vector is just a scalar, so dividing by the magnitude is the equivalent of dividing each component by the magnitude.

Answer 4

so divide 6, 7, and -1 by the magnitude

Answer 5

@Parth1994 Yeah. Your new vector will have a length of 1 if you want to check it yourself to make sure. After all, it should be a unit vector right?

Answer 6

thanks got it!! appreciate it

Answer 7

@April115