Question

a unit vector in the opposite direction to 4i-j-k

Answer 1

A vector's opposite has the sign of all the components reversed.

Answer 2

-4i+j+k

Answer 3

so the answer will be \[\frac{ 1 }{ 3\sqrt{2} }\] (-4+j+k) or \[\frac{ 1 }{ \sqrt{14} }\](-4+j+k)

Answer 4

hello people unit vector has got magnitude 1 .. is ur answwer giving magnitude 1 ??

Answer 5

yes need magnitude.

Answer 6

divide by magnitude to get the unit vector

magnitude of \(xi+yj+zk\)
will be \(\sqrt{x^2+y^2+z^2}\)

Answer 7

\(\Large \sqrt{(-4)^2+1^2+1^2} = ...\)

Answer 8

thank u!! i got the answer :)

Answer 9

welcome ^_^

Answer 10

since you seem to be new here,
\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)

Answer 11

thank you soo much!! Its so kind of you :)