Find the area of the parallelogram formed by

can u please explain how i should solve it and the formulaes used?

 

Asked by Rida Mukadam | 29th May, 2015, 01:01: PM

Expert Answer:

begin mathsize 14px style Given colon straight A with rightwards arrow on top space equals straight i with hat on top minus straight j with rightwards arrow on top space plus 2 space straight k with hat on top stack straight B space with rightwards arrow on top equals negative 3 straight I with rightwards arrow on top plus 4 straight j with hat on top minus 2 straight k with hat on top Area space of space the space parallelogram space will space be space given space by colon straight A with rightwards arrow on top cross times stack straight B space with rightwards arrow 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 1 cell negative 1 end cell 2 row cell negative 3 end cell 4 cell negative 2 end cell end table close vertical bar equals straight i with hat on top left parenthesis 2 minus 8 right parenthesis minus straight j with hat on top left parenthesis negative 2 plus 6 right parenthesis plus straight k with hat on top left parenthesis 4 minus 3 right parenthesis equals negative 6 straight i with hat on top minus 4 straight j with hat on top plus straight k with hat on top Therefore space the space area space of space parallelogram space equals square root of open parentheses negative 6 close parentheses squared plus left parenthesis negative 4 right parenthesis squared plus left parenthesis 1 right parenthesis squared end root space equals square root of 53 end style

Answered by Jyothi Nair | 29th May, 2015, 04:03: PM