Тапсырма № 3.
Векторлардың аралас көбейтіндісін есепте:
1)
2)
3)
Тапсырма № 4
1) Берілген нүктелер арқылы өтетін түзудің теңдеуін жазыңыз:
Берілгені:
А)
Б)
В)
Г)
2) Есепте:
а) нүктесінен ![](data:image/png;base64,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) жазықтығына дейінгі қашықтықты табу керек.
б) М(-1;1) нүктесінен L: 3x-4y+10=0 түзуіне дейінгі қашықтықты табыңыз.
в) у = 2х-3 және у = -3х+2 түзулерінің арасындағы бұрышты табыңыз.
г) және түзулерінің арасындағы бұрышты табыңыз.
Достарыңызбен бөлісу: |