Question

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Answer 1

Answer:

1 :Summary: The points (-2,4), (3,-1), (-1,0), (1,2), and (-3,-5) lie in the 2nd quadrant, 4th quadrant, the negative x-axis,1st quadrant, and 3rd quadrant respectively.

2: in the image

3:in the image

1. 4: The coordinates of point R that divides the line segment joining points P(x
2. 1
4. ,y
5. 1
7. ,z
8. 1
10. ) and Q(x
11. 2
13. ,y
14. 2
16. ,z
17. 2
19. ) internally in the ratio m:n are
20. (
21. m+n
22. mx
23. 2
25. +nx
26. 1
30. ,
31. m+n
32. my
33. 2
35. +ny
36. 1
40. ,
41. m+n
42. mz
43. 2
45. +nz
46. 1
50. )
51. Let R(x,y,z) be the points that divides the line segment joining points (−2,3,5) and (1,−4,6) internally in the ratio 2:3
52. x=
53. 2+3
54. 2(1)+3(−2)
56. ,y=
57. 2+3
58. 2(−4)+3(3)
60. and z=
61. 2+3
62. 2(6)+3(5)
65. i.e., x=
66. 5
67. −4
69. ,y=
70. 5
71. 1
73. , and z=
74. 5
75. 27
78. Thus, the coordinates of the required point are (
79. 5
80. −4
82. ,
83. 5
84. 1
86. ,
87. 5
88. 27
90. )
91. (ii) The coordinates of point R that divides the line segment joining points P(x
92. 1
94. ,y
95. 1
97. ,z
98. 1
100. ) and Q(x
101. 2
103. ,y
104. 2
106. ,z
107. 2
109. ) externally in the ratio m:n are
110. (
111. m−n
112. mx
113. 2
115. +nx
116. 1
120. ,
121. m−n
122. my
123. 2
125. +ny
126. 1
130. ,
131. m−n
132. mz
133. 2
135. +nz
136. 1
140. )
141. Let R(x,y,z) be the point that divides the line segment joining points (−2,3,5) and (1,−4,6) externally in the ratio 2:3
142. x=
143. 2−3
144. 2(1)−3(2)
146. ,y=
147. 2−3
148. 2(−4)−3(3)
150. , and z=
151. 2−3
152. 2(6)−3(5)
155. i.e., x=−8,y=17, and z=3
156. Thus, the coordinates of the required point are (−8,17,3).

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Answer 2

Answer:

Hope it's correct thank you ノ(・ω・)ノ