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

Related Videos

Scalars and Vectors

This video explains scalars, vectors, position and displacement vectors and...

Vectors

This video explains the addition of vectors using the method of components ...

Ask Doubt

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.