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Analytic Geometry
line segment AC has endpoints A (-1, -3.5) and C (5,-1). Point B is on like segment AC and is located at (0.2, -3). what is the ratio of AB/BC?
Analytic Geometry
Find the angle between A=2i+2j-k and B=6i-3j+2k
Analytic Geometry
Determine the value a so that A=2i+aj+k and B=4i-2j-2k are perpendicular
Analytic Geometry
Find the projection of the vector A=i-2j+k on the vector B=4i-4j+7k
Analytic Geometry
Find an equation for the plane perpendicular to the vector A=2i+3j+6k and passing through the terminal point of the vector B=1+5j+3k
Analytic Geometry
Find the work done in moving an object along a vector r=3i+2j-5k, if the applied force is F=2i-j-k
Analytic Geometry
Why we cannot divide two vector? Explain it
Analytic Geometry
Show that if a and b are :
(a). in the same direction then |a + b| = |a| +|b|.
(b). in the opposite direction then |a − b| = |a| + |b|.
(a). in the same direction then |a + b| = |a| +|b|.
(b). in the opposite direction then |a − b| = |a| + |b|.
Analytic Geometry
Determine whether the vectors a=2i-3j+5k,b=3i+j-2k and c=i-7j+12k are linearly dependent or linearly independent
Analytic Geometry
Prove that the planes 7x +4y -4z +30 =0, 36x - 51y+12z + 17 = 0 14x +8y- 8z -12 = 0 and 12x -17y + 4z -3 =0 form the four faces of a cuboid
