الصف الثالث ثانوي    المتجهات    المتجهات في الفضاء الثلاثي الأبعاد
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 		 إذا كان : ⟨ −2  ,  0  ,5⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaaGymaiaaiAdacaGGSaGaaGOmaiaacYcacaaI4aGaeyOpa4daaa@3C0A@ = z , ⟨ −1  ,  4  ,−4⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaaGymaiaaiAdacaGGSaGaaGOmaiaacYcacaaI4aGaeyOpa4daaa@3C0A@ = w , ⟨ 3  ,  −6  ,2⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaaGymaiaaiAdacaGGSaGaaGOmaiaacYcacaaI4aGaeyOpa4daaa@3C0A@ = y
 
 		 فأوجد ما يأتي :               3y + 3z  - 6w      
⟨ 11  , −12  ,75 ⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaamiEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadIhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamyEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadMhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamOEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadQhadaWgaaWcbaGaaGymaaqabaGccqGH+aGpaaa@4775@    
⟨ 9  , −33  ,45 ⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaamiEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadIhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamyEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadMhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamOEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadQhadaWgaaWcbaGaaGymaaqabaGccqGH+aGpaaa@4775@    
⟨ 9  , −42  ,45 ⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaamiEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadIhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamyEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadMhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamOEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadQhadaWgaaWcbaGaaGymaaqabaGccqGH+aGpaaa@4775@    
⟨ 6  , −52  ,45 ⟩ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4HqaqFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyipaWJaamiEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadIhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamyEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadMhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamOEamaaBaaaleaacaaIYaaabeaakiabgkHiTiaadQhadaWgaaWcbaGaaGymaaqabaGccqGH+aGpaaa@4775@    
            
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