How do you find the unit vector having the same direction as vector v = 2i - j + k?

1 Answer
Shwetank Mauria
Jul 13, 2016

The unit vector having the same direction as v will be 2/sqrt6i-1/sqrt6j+1/sqrt6k

Explanation:

For a vector v=ai+bj+ck, unit vector in the same direction is given by v/(|v|), where |v|=sqrt(a^2+b^2+c^2).

Hence for v=2i-j+k, as |v|=sqrt(2^2+(-1)^2+1^2)

= sqrt(4+1+1)=sqrt6

Hence. the unit vector having the same direction as v will be

2/sqrt6i-1/sqrt6j+1/sqrt6k

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