Let-p-q-r-be-three-mutually-perpendicular-vectors-of-the-same-magnitude-If-a-vector-x-satisfies-the-equation-p-x-q-p-q-x-r-q-r-x-p-r-0-then-x-is-given-by- Tinku Tara June 14, 2023 None 0 Comments FacebookTweetPin Question Number 19262 by djatmiko last updated on 08/Aug/17 Let\boldsymbolp,\boldsymbolq,\boldsymbolrbethreemutuallyperpendicularvectorsofthesamemagnitude.Ifavector\boldsymbolxsatisfiestheequation\boldsymbolp×{\boldsymbolx−\boldsymbolq)×\boldsymbolp}+\boldsymbolq×{\boldsymbolx−\boldsymbolr)×\boldsymbolq}+\boldsymbolr×{\boldsymbolx−\boldsymbolp)×\boldsymbolr}=0,then\boldsymbolxisgivenby Answered by ajfour last updated on 08/Aug/17 =(p¯.p¯)(x¯−q¯)−[p¯.(x¯−q¯)]p¯+(q¯.q¯)(x¯−r¯)−[q¯.(x¯−r¯)]q¯+(r¯.r¯)(x¯−p¯)−[r¯.(x¯−p¯)]r¯=(p2+q2+r2)x¯−[(p¯.x¯)p¯+(q¯.x¯)q¯+(r¯.x¯)r¯]−(p2+q2+r2)(p¯+q¯+r¯)+(p¯.q¯)p¯+(q¯.r¯)q¯+(r¯.p¯)r¯=0p¯,q¯,andr¯aremutually⊥,andofequalmagnitudes;lettheirmanitudesbea.⇒3a2[x¯−(p¯+q¯+r¯)]=a(xpp¯+xqq¯+xrr¯)⇒3a2[x¯−(p¯+q¯+r¯)]=a2(x¯)⇒x¯=32(p¯+q¯+r¯). Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: If-f-x-determinant-sin-x-sin2x-sin-3x-sin-2x-sin-3x-3-4-sin-x-3-4-sin-x-1-sin-x-sin-x-1-then-the-value-of-0-pi-2-f-x-dx-is-Next Next post: If-f-x-is-an-even-function-then-0-pi-f-cos-x-dx-2-0-pi-2-f-cos-x-dx- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.