Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 63900 by Rio Michael last updated on 10/Jul/19

Commented by Rio Michael last updated on 10/Jul/19

Inthe Diagram above ABCD and CDEF are parrallelograms  which lie in thesame plane.  AB^→ =p , BC^→ =q  and CF^→ =r    by considering area show that  ∣p×(q+r)∣ = ∣p×q∣ + ∣p×r∣

$${Inthe}\:{Diagram}\:{above}\:{ABCD}\:{and}\:{CDEF}\:{are}\:{parrallelograms} \\ $$$${which}\:{lie}\:{in}\:{thesame}\:{plane}. \\ $$$${A}\overset{\rightarrow} {{B}}=\boldsymbol{{p}}\:,\:{B}\overset{\rightarrow} {{C}}=\boldsymbol{{q}}\:\:{and}\:{C}\overset{\rightarrow} {{F}}=\boldsymbol{{r}}\:\: \\ $$$${by}\:{considering}\:{area}\:{show}\:{that}\:\:\mid\boldsymbol{{p}}×\left(\boldsymbol{{q}}+\boldsymbol{{r}}\right)\mid\:=\:\mid\boldsymbol{{p}}×\boldsymbol{{q}}\mid\:+\:\mid\boldsymbol{{p}}×\boldsymbol{{r}}\mid \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com