A surveying instrument for measuring distance and angle is located at C, point A is at an
elevation of 9.2
above the horizontal plane (x-y plane). The instrument has to rotate about
the vertical axis through 41
from the x direction in order to align with A. The distance from
C to A is 5005m. Corresponding values for point B are 1.3
and 7037m. Determine
(a) the locations of points A and B in Cartesian co-ordinates relative to C,
(b) the distance from A to B,
(c) the distance from A to B projected onto the horizontal plane.
(3729, 3241, 800.2)m,(2010, 6742, 159.7)m
Point C and D are located at (1,2,4)m and (2,-1,1)m respectively. Determine the length of
CD and the angle COD, where O is the original of the co-ordinates.
A vector is given by (2i+3j+1k)m. What is the component of this vector (a) in the y-direction
and (b) in the direction parallel to the line from A to B, where A is at point (1,1,0)m and B is
What are the angles between the line joining the origin O and a point at (2,-5,6)m and the
positive x-, y- and z- axes?
A point on a mechanism has a speed of 5m/s and a tangential acceleration of magnitude
. If the magnitude of the total acceleration is 3.0m/s
, what is the radius of curvature of
the path traced by the point at this instant.