3) Koordinatalari bilan berilgan vektorlarning vektor ko’paytmasi.
={x1, y1, z1} va ={x2, y2, z2} vektorlar berilgan bo’lsin.
x =(x1+y1 +z1 )x(x2+y2 +z2 )=(y1z2-z1y2)
+(-x1z2+z1x2) + (x1y2-y1x2) = ,
ko’rinishda xam yozish mumkin.
3-misol. ={2;5;7} , ={1;2;4}, |[![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAdCAIAAAD6qqGNAAABGUlEQVR4nGP5//8/A9GAhXilQ0P1jx8/ODg4iFVdV1dXVlYmIiJCrOqKioq+vj42NjZ01YWFhRMnTsTUo6urm56ejq66HwyQ1b17966joyM5OZkol0ydOrWhoYGFhYUo1bW1tZiCQyAuaaD68+fPlZWVq1ev/v79u6Sk5NatW1VUVLCrBuYjPz8/f3//Bw8efPnyxdTUVFlZGafZS5YsYWJiKigogOgEms3IyIhT9aJFiyBKgeDSpUva2tr43H3u3DkzMzMI++LFi8AkhU810Ge8vLxw1SEhIfhUa2lpzZ49OzU1denSpWvWrGlsbMSnesKECVFRUcCEPmnSJKAvU1JSNm7ciFO1jY3No0ePIOzXr18zYIDBk04AcXFslljfI7cAAAAASUVORK5CYII=) ]|=? x =6- - ; |[![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAdCAIAAAD6qqGNAAABGUlEQVR4nGP5//8/A9GAhXilQ0P1jx8/ODg4iFVdV1dXVlYmIiJCrOqKioq+vj42NjZ01YWFhRMnTsTUo6urm56ejq66HwyQ1b17966joyM5OZkol0ydOrWhoYGFhYUo1bW1tZiCQyAuaaD68+fPlZWVq1ev/v79u6Sk5NatW1VUVLCrBuYjPz8/f3//Bw8efPnyxdTUVFlZGafZS5YsYWJiKigogOgEms3IyIhT9aJFiyBKgeDSpUva2tr43H3u3DkzMzMI++LFi8AkhU810Ge8vLxw1SEhIfhUa2lpzZ49OzU1denSpWvWrGlsbMSnesKECVFRUcCEPmnSJKAvU1JSNm7ciFO1jY3No0ePIOzXr18zYIDBk04AcXFslljfI7cAAAAASUVORK5CYII=) ]|=
4) Uchta vektorning aralash ko’paytmasi. ={x1, y1, z1}, ={x2, y2, z2} va ={x3, y3, z3}
vektorlar berilgan bo’lsa, bu vektorlarning aralash ko’paytmasi deb, x vektor ko’paytma bilan vektorning skalyar ko’paytmasiga aytiladi va odatda ( x ) ko’rinishda yoziladi.
x = , = x3+y3 +z3 ,
( x )=( ) (x3+y3 +z3 )=
= =
Aralash ko’paytmaning geometrik ma’nosi qirralari berilgan , , vektorlarning modullaridan tashkil topgan parallelopepedning xajmini ifodalaydi.
Fazodagi ixtiyoriy , , vektorlarning komplanar vektorlar bo’lishi uchun ularning aralash ko’paytmasi nol bo’lishi zarur va kifoya.
Do'stlaringiz bilan baham: |