the velocity of a particle ia 6i+2j-2k. the component of the velocity of a particle to vector i+j+k

kajal patnaik

the velocity of a particle ia 6i+2j-2k. the component of the velocity of a particle to vector i+j+k in vector form is ?

Juhi Sharma

vector V =6i+2j-2k

let any other vector U = i+j+k

component of V along U is given by [(V. $u-hat$ )] $u-hat$

we know that modulus of U here is

V.U = (6*1)+(2*1)-(2*1)

= 6

also

$u-hat equals the vector u divided by its length$

therefore required answer is =

=2i+2j+2k