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11.5 µm ¸Yb

               `ywU †f±‡ii g‡a¨ Av‡iK cÖKvi ¸Y m¤¢e Avi Zv n‡jv µm ¸Yb| `ywU †f±‡ii gvb I G‡`i ga¨eZ©x †Kv‡Yi mvBb
               Gi ¸Ydj‡K †f±i `ywUi µm ¸Yb e‡j| ‡f±i ¸Yb n‡jv GKwU †f±i ivwk hv †f±i `ywU †h mg‡Zv‡j Aew¯’Z
               Zvi mv‡_ j¤^fv‡e Ae¯’vb Ki‡e|


               Dc‡ii    I    †f±i؇qi µm¸Yb    ×    ClassWiz K¨vjKz‡jU‡i mvaviY ¸YwPý (O) e¨envi K‡i mivmwi
               Kiv hvq hv wb‡P †`Lv‡bv n‡jv-








               WU ¸Yb wewbgq m~Î †g‡b P‡j wKš‘ µm ¸Yb wewbgq m~Î †g‡b P‡j bv| wb‡Pi w¯Œb n‡Z †`Lv hv‡”Q †h hw`

               †f±i؇qi µm cwieZ©b Kiv nq Zvn‡j cÖvß djvdj c~‡e©i djvd‡ji wecixZ n‡e|











                                                       D`vniYgvjv


                                                                                     ⃗⃗⃗⃗⃗⃗
               1. g~jwe›`y 0 Gi mv‡c‡ÿ `yBwU we›`yi ¯’vbvsK   (2, −1, 7),    (−4,5, 0) n‡j |    | wbY©q Ki‡Z n‡e|
               mgvavb- w5†P‡c vector mode wbe©vPb K‡i    †f±i‡K cÖ‡ek Kiv‡Z n‡e| Gici T evUb Pvcvi

               ci 1 †P‡c Define Vector wbe©vPb Ki‡Z n‡e| Gici 2 †P‡c    ‡f±i‡K cÖ‡ek Kiv‡Z n‡e| Avevi
               T Pvcvi ci 4 ‡P‡c    †f±i Ges p Pvcvi ci T3 †P‡c    †f±i‡K wb‡Pi cÖ_g w¯Œ‡bi g‡Zv
                                                    ⃗⃗⃗⃗⃗⃗
               UvBc  Ki‡Z  n‡e|  Gici  =  Pvc‡j        †f±i  cvIqv  hv‡e|  AZtci  q((e)  Pvc‡Z  n‡e|
                                                                             ⃗⃗⃗⃗⃗⃗
               me‡k‡l= Pvc‡j Vct Ans K¨vjKz‡jU‡i cÖ`wk©Z n‡e Ges =Pvc‡j      †f±‡ii gvb cvIqv hv‡e|








               (Key log- w5132=p1=7=T123p4=5=
               0=CT4pT3=q(TR1)=)



                                                             ̂
                                  ̂
               2.    = 2  ̂ + 2  ̂ +    Ges    = 2  ̂ + 10  ̂ − 11   Gi ga¨eZ©x †KvY wbY©q Ki‡Z n‡e|
               mgvavb- w5 ‡P‡c vector mode wbe©vPb Kivi ci     I    †f±i‡K cÖ‡ek Kiv‡Z n‡e| Gici T

               evUb Pvcvi ci R †P‡c wØZxq w¯Œ‡b wM‡q Angle wbe©vPb Ki‡Z n‡e| Avevi T †P‡c Vector A I Zvici
               Kgv (q)) w`‡q Vector B cÖ‡ek Kwi‡q =Pvc‡j    I    †f±‡ii ga¨eZ©x †KvY cvIqv hv‡e|

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