Question Number 84275 by john santu last updated on 11/Mar/20
$$\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{c}}\right)\boldsymbol{\mathrm{b}}−\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{b}}\right)\boldsymbol{\mathrm{c}}\:=\:\boldsymbol{\mathrm{a}}×\left(\boldsymbol{\mathrm{c}}×\boldsymbol{\mathrm{b}}\right)\:? \\ $$
Commented by mr W last updated on 11/Mar/20
$$−\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{c}}\right)\boldsymbol{\mathrm{b}}+\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{b}}\right)\boldsymbol{\mathrm{c}}\:=\:\boldsymbol{\mathrm{a}}×\left(\boldsymbol{\mathrm{c}}×\boldsymbol{\mathrm{b}}\right) \\ $$$$\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{c}}\right)\boldsymbol{\mathrm{b}}−\left(\boldsymbol{\mathrm{a}}.\boldsymbol{\mathrm{b}}\right)\boldsymbol{\mathrm{c}}\:=\:\boldsymbol{\mathrm{a}}×\left(\boldsymbol{{b}}×\boldsymbol{{c}}\right) \\ $$
Commented by john santu last updated on 11/Mar/20
$$\mathrm{thank}\:\mathrm{you} \\ $$
Answered by jagoll last updated on 11/Mar/20
$$\mathrm{no}.\: \\ $$$$\overset{\rightarrow} {\mathrm{a}}\:×\:\left(\overset{\rightarrow} {\mathrm{b}}\:×\:\overset{\rightarrow} {\mathrm{c}}\:\right) \\ $$