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Find the unit vector which is parallel to the line
x-1/4=y-2/4=z -7/12

3x-3=3y-6 =z-7,find the unit vector parallel to the above line

Show that the points (2,0,1),(0,-4,3) and (-2,5,0) are non-collinear. Hence, find the equation of plane passing through them
What is the value of p? x^2=12y
Find the ecentricity and equation of the asympotes of the hyperbola 4x^2-9y^2=9

if a and b denote vectors oa and ob indicate on the same diagram the vectors oc and od denoted by a+b and a-b. draw on another diagram the vector oe denoted by a+2b


1. Calculate the distance between the following pairs of points:
a. (3,4), (5,2)
b. (0,6), (4,0)

2. Calculate the distance between the points (b,3) and (-b,2).
Find the mid points of the line joining the pairs of points
a.(3,4) and (5,2)
b.(0,6) and (4,0)
c.(4,2) and (4,-4)
d.(-1,-5) and (-3,4)
e.(-3,2) and (8,-2)
Find all points on the graph of the equation x^2-y^2=2x+4y where the tangent line is horizontal. Does the graph have any vertical asymptotes?

Find the parametric equation of the line that passes through the points (0,1,1) and (1,0,-1).