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Analytic Geometry
The following forces act on a particle P :F1=2i+3j−5k, F2=−5i+j+3k, F3=i−2j+4k ,F4=4i−3j−2k, Find the magnitude of the resultant
a)2i−j
b)2i−j+k2
c)2i−j−2k
d)i−j−k
a)2i−j
b)2i−j+k2
c)2i−j−2k
d)i−j−k
Analytic Geometry
what surface is represented by x^2 + y^2 = 9z ? Give a rough sketch of it. Obtain the section
of this surface by the plane y = 0.
of this surface by the plane y = 0.
Analytic Geometry
Find the equations of the straight lines which pass through the intersection of 3x-4y+1=0 and 5x+y=1 and which cut off equal intercepts from the axes
Analytic Geometry
Prove that if ABC is triangle and Dis the mid point of BC , then AB^2+AC^2,=2*AD^2+DC^2)
Analytic Geometry
If (-3,4) lies on a curve that is symmetric with respect to the x-axis ,then (3,4) will also lie on the curve.
Analytic Geometry
A car travels 3km due north, then 5km northeast. Determine the resultant displacement
Analytic Geometry
Solve the differential equation
(1 ) ( ) 0
1 2 tan
+ + − =
−
−
dx
dy
y x e y .
(1 ) ( ) 0
1 2 tan
+ + − =
−
−
dx
dy
y x e y .
Analytic Geometry
a) Find the equation of the sphere which passes through the points
(1, − 4, 3), (1, − 5, 2), (1, − 3, 0) and whose centre lies on the plane x + y + z = 0 .
(1, − 4, 3), (1, − 5, 2), (1, − 3, 0) and whose centre lies on the plane x + y + z = 0 .
Analytic Geometry
find the projection of the vectr i-j (cap) on the vector i+j (cap)?
Analytic Geometry
What is the radius of the circle if the center of the circle is C(-3,5) and the point P(5,11) is on the circle?
