Page 127 - Bangladesh_classwiz_BOOK2018_rev_Neat

(Key log- w5132=2=1=T1232=10=p
11=CTR3T3q)T4)=)

3. (2, 3, 1) Ges (3, 1, −2) ‡f±i `yBwUi †¯‹jvi ¸Ydj wbY©q Ki‡Z n‡e|
mgvavb- w5 ‡P‡c vector mode G wM‡q cÖ_‡g †f±i `ywU‡K I ‡Z cÖ‡ek Kiv‡Z n‡e| Gici

T †P‡c cÖ_‡g vct A wbe©vPb Ki‡Z n‡e Ges Avevi T †P‡c wØZxq w¯Œ‡b wM‡q Dot Product wbe©vPb
Ki‡Z n‡e| me‡k‡l Avevi T †P‡c Vct B wbe©vPb K‡i = Pvc‡j †f±i `yBwUi WU¸Y‡bi gvb cvIqv
hv‡e|

(Key log- w5132=3=1=T1233=1=p2
=CT3TR2T4=)

̂
̂
⃗
⃗⃗
4. = 2 ̂ + 3 ̂ + 5 Ges = − ̂ + 2 ̂ − 7 n‡j 5 × Gi gvb †ei Ki‡Z n‡e|
mgvavb- w5‡P‡c vector mode wbe©vPb K‡i I †f±i‡K h_vµ‡g vct A I vct B ‡Z cÖ‡ek Kiv‡Z
n‡e| Gici wb‡Pi cÖ_g w¯Œ‡bi g‡Zv UvBc K‡i = Pvc‡j µm ¸Ydj cvIqv hv‡e|

(Key log- w5132=3=5=T123p1=2=p
7=C5T3OT4=)
̂
⃗⃗
⃗
myZivs djvdj n‡e 5 × = −155 ̂ + 45 ̂ + 35 .

̂
̂
̂
5. cÖgvY Ki‡Z n‡e †h, 2 ̂ − ̂ + , ̂ − 3 ̂ − 5 Ges 3 ̂ − 4 ̂ − 4 †f±iÎq GKwU mg‡KvYx wÎfyR
Drcbœ K‡i|
mgvavb- Vector mode wbe©vPb Kivi ci cÖ_‡g †f±i wZbwU‡K h_vµ‡g Vet A, Vct B I Vct C †Z cÖ‡ek
Kiv‡Z n‡e| Gici T e¨envi K‡i `yBwU K‡i †f±‡ii WU¸Yb wb‡q wb‡Pi g‡Zv K‡i †`L‡Z n‡e|

‡h‡nZz Vct A I Vct B Gi ¸Ydj k~b¨ A_©vr A I B ci¯úi j¤^| myZivs †f±iÎq GKwU mg‡KvYx wÎfzR MVb
K‡i
(Key log-w5132=p1=1=T1231=p3=
p5=T1333=p4=p4=CT3TR2T

4=!oT5=!!!oT4=)
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