Please help me out with this question

Asked by akshitaasia | 19th Mar, 2018, 11:09: AM

Expert Answer:

begin mathsize 16px style To space find space vector space which space is space perpendicular space of space both space vectors
straight a with bar on top equals 4 straight i with hat on top minus straight j with hat on top plus 3 straight k with hat on top space and space straight b with bar on top equals negative 2 straight i with hat on top plus straight j with hat on top minus 2 straight k with hat on top space is
straight a with bar on top cross times straight b with bar on top equals open vertical bar table row cell straight i with hat on top end cell cell straight j with hat on top end cell cell straight k with hat on top end cell row 4 cell negative 1 end cell 3 row cell negative 2 end cell 1 cell negative 2 end cell end table close vertical bar
equals negative straight i with hat on top plus 2 straight j with hat on top plus 2 straight k with hat on top
open vertical bar straight a with bar on top cross times straight b with bar on top close vertical bar equals square root of 1 squared plus 2 squared plus 2 squared end root equals square root of 9 space equals 3
Unit space vector space equals fraction numerator negative straight i with hat on top plus 2 straight j with hat on top plus 2 straight k with hat on top over denominator 3 end fraction
Vector space of space magnitude space 9 space is space 9 cross times open parentheses fraction numerator negative straight i with hat on top plus 2 straight j with hat on top plus 2 straight k with hat on top over denominator 3 end fraction close parentheses

straight i. straight e. space minus stack 3 straight i with hat on top plus 6 straight j with hat on top plus 6 straight k with hat on top. end style

Answered by Sneha shidid | 19th Mar, 2018, 11:34: AM