Kazi: (чисто вбивал Кази)
Date: 2015-10-07; view: 326.
P (-1; 0)
Аналог
65. If coordinates of two points are A(-2,1), B(3,-2) and number 5 find coordinates of point K so that AK : KB .
K(- 3/2; 1) Kazi: ( 
) шала-мала….
66. If coordinates of two points are A(3,2), B(-4,1) and number 
find coordinates of point K lying on line AB so that AK : KB .
k= (- 5/3; 4/3) Kazi: ( 
) шала-мала….
67. If coordinates of two points are B(3,-2), C(0,4) find coordinates of point P lying on line BC so that BP PC .
ß---- Чё За х*йня??^^ Kazi: P(3/2; 1) мой ответ адекватнее ^^
68. If coordinates of two points are B(-4,1), C(2,-1) find coordinates of point P lying on line BC so that BP PC .
69. If coordinates of three points are A(-2,1), B(3,-2), C(0,4) find length of the vector (2 ) ABBC .
70. If coordinates of three points are A(3,2), B(-4,1), C(2,-1) find length of the vector (2 ) ABBC .
71. If coordinates of three points are A(1,-2), B(0,-1), C(3,-4) find length of the vector (2 ) ABBC .
72. If coordinates of two points are A(3,4), B(-1,6) find projection of AB on the CD (7, -1).
73. Vectors OA a and OB b in which | a |2 , | b |4 and the angle between these vectors is Здесь где помечено серым я потерял листок)))
. In the triangle AOB find the angle between median OM and side OA.
74. Coordinates of vertices of triangle ABC are A(1,6), B(-5,4), C(2,-3). Find length of median AM .
75. Vertices of triangle ABC are A(1,-2), B(-4, 5), C(5,8). Find the angle between median BM and side BA of the triangle.
Cos 
= 49/ 
76. Find vector x which is collinear to the vector a (2,1, 1) and satisfies the condition that scalar product (x,a) 3.
77. The angle between two vectors a and b is 1200 and | a |3 , | b |4 . Compute 2 (a b) .
78. Find the area of parallelogram constructed on the vectors a i 5 j 2k and b 2i 2 j 4k .
12 
79. Coordinates of three points are A(2,-1,2), B(1,2,-1) and C(3,2,1). Find coordinates of the vector
product 
(-6;-4;6)
80. Coordinates of three points are A(1,-1,2), B(5,-6,2) and C(1,3,-1). Find area of triangle ABC.
S=25
81. Compute [k ,[ j, k ]], if i, j, k are standard basis vectors.
82. Compute [k , ( i j)] , where i, j, k are standard basis vectors.
83. Compute [2 j, ( i k )] , where i, j, k are standard basis vectors. Ну здесь у мя сильные сомнения
84. Find the area of parallelogram constructed on the vectors a 3i 4 j k and b 2i 2 j k .
85. Find the volume of parallelepiped constructed on the vectors a i 2 j 3k , b 4i j k ,
c 3i 4 j k
86. Find the volume of tetrahedron constructed on the vectors a i j k , b 2i j k ,
c 3i 3 j k 
87. Find an equation of the straight line through the point A(-1,2) and parallel to the straight line
x-3y=5.
( 
)
88. Find an equation of the straight line through the point A(4,-1) and parallel to the straight line
3x+2y=7.
( 
)
89. Find an equation of the straight line through the point A(-1,2) and perpendicular to the straight
line 2x-y=1
.
90. Find an equation of the straight line through the point A(4,-1) and perpendicular to the straight
line x-2y=2
( 
)
91. Find an equation of the straight line through the point A(2,-3) and perpendicular to the straight
line 4x-5y= -3.
( 
)
92. Find an equation of the straight line through the point A(1,2) and perpendicular to the straight
line 5x-y= -1.
( 
)
93. Find an equation of the straight line through the point A(-2,3) and perpendicular to the straight
line x+5y=4.
( 
)
94. Find an equation of the straight line through the point A(-3,4) and perpendicular to the straight
line x+y=5.
( 
)
95. If coordinates of two points are A(4;3)and B(4;5) find coordinates of vector
____
AB .
AB=(-8 ,8)
96. Two vectors are a(4;1) and b (2;5) . Find coordinates of the vector a 3b .
(-2, -16)
97. Find the value of x so that the vectors a(x;2) and b(1;3) are collinear.
(x=- 
)
98. Find the value of x so that vectors a(x;2) and b(1;3)are orthogonal.
(x=6)
99. Find the point of intersection of the straight line 2x 3y 6 0 and OX-axis.
(3,0) Kazi: (2,0) небольшая не стыковка
100. Write the equation of the straight line through the points A(-1,1) and B(0,2).------------------------------à( 
)
101. If two vectors are a(3;2) and b (1;1) find coordinates of the vector 2a b .------------------------------à(5 ; -5)
102. Find the point of intersection of the straight line 3x 4y 12 0 and OY-axis. ------------------------à (0;3)
103. Find slope of the line y= -5x+3.-------------------------------------------------------------------------------------à(k=-5)
104. Find equation of the line through two points A(1,-1) and B(2,0).-------------------------------------------à( 
)
105. Find semi-axis of the ellipse 16x2 + 25y2 = 400----------------------------------------------------------à(b= 
)
106. Find slope of the line that is perpendicular to the straight line 5х + 2у – 3 = 0. -------------à(k= 
) Kazi: k= -2/5 разница в знаках
107. Determine the form of the curve 9x2 – 25y2 = 225 and its parameters. ------------------------------à(hyperbola 
)
108. Canonical equation of the straight line is . 
Find coordinates of the direction vector of the line.----àn(2,-3)
109. Indicate the equation of the straight line passing through the origin.------------------------à??? Подобные отметки говорят что это ни кто не решал!
110. Indicate the normalized factor for the straight line -3x+4y+5=0.---------------------------------à( 
)
111. Find the distance from point M(1,-2) to the straight line 4x-3y+10=0.-------------------------à(4)
112. Find the angle between straight lines y=x+1 and y=0.5x-1.------------------------------------------------à(α= 
)
113. Indicate the position of the straight line 2x+3y=0.-------------------------------------------à???
114. Find coordinates of the foci of ellipse 
------------------------------------à(F1( 12 , 0) F2(-12 , 0))
115. Find coordinates of the foci of hyperbola 
-----------------------------à(F1(13, 0) F2(-13,0))
116. Find parameter of the parabola y2=4x. ----------------------------------------------à(P=2)
117. Find eccentricity of the ellipse 
------------------------------------------à(E= 
)
118. Find eccentricity of the hyperbola 
---------------------------------à(E= 
)
119. Find directrix of the ellipse 
-------------------------------------------à(D= 
)
120. Find directrix of the hyperbola 
--------------------------------------à( 
)
121. Find directrix of the parabola y2 =8x. -----------------------------------------à(d=-2)
122. Find asymptotes of the hyperbola 
------------------------------à( 
)
123. If the directrix of parabola x= -3 find the equation of the parabola.-----à (y=12x)
124. Find tangent line to the parabola y 2x 2 at point O(0,0).------------------à ??????
125. Find vector product of the given two vectors a =(2,0,3) and b =(-2,1,0).-à (3,6,-2)
126. Find the equation of the median of triangle ABC dropped from vertex B if coordinates of
vertices are A(2,4), B(-2,0), C(4,2). ---------------------------------------------------------------------------------à (5y-3x-6)
127. Find the area of the triangle formed by the straight line 2x+3y-6=0 and the first quadrant. ---------------à????
128. What is the eccentricity of a circle?---------------------------à(E=1) Nurbek KADR! ^^ Kazi's Answer:Для окружности полагают e = 0. (wikipedia)
129. Find equation of the plane which is parallel to the plane (OXY).-----------à (среди вариатов ответа видно будет)
130. What is the relative positions of the planes x+y-z+1=0 , 2x+2y-2z+1=0?----------------------------------------à????????????? Kazi: Parallel <<< я всё таки добился этого ответа
131. Normalize the equation of the plane 3х+4у- 11 z -5=0. --------------------------------à???????????????????????????
132. Find the distance from point M(1,2,3) to the plane 3x+4y-1=0.-----------------------------------------à(d=2)
133. Coordinates of two points are A(-5,0,0), B(-1,2,-3) and equation of the plane π: х-2y+4z-1=0.------------à A и B не сидят на трубе ^^
What are the positions of points A and B with respect to the plane?
134. Find the angle between the planes 3x-y+7z-4=0 and 5x+3y-5z+2=0----------- à(cos(π1,π2)=-23/59)
135. Find an equation of the plane passing through the point M0(2,0,3) and parallel to the plane-----------------à x+y-2=0
(XOY).
136. Find coordinates of the direction vector of the straight line: 
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