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Equations of Lines
In this part we need to take a view at the equation of a line in R3. As we saw in the earlier section the equation y = mx+b does not explain a line in R3, in place of it describes a plane. Though, this doesn't mean that we can't write down an equation for a line in 3-D space. We're just going to require a new way of writing down the equation of a curve.
Thus, before we get into the equations of lines we first require to briefly looking at vector functions. We are going to take a much more in depth look at vector functions later. At the moment all that we need to worry about is notational issues and how they can be employed to give the equation of a curve.
Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w → (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →
If angle between asymtotes of hyperbola x^2/a^2-y^2/b^=1 is 120 degrees and product of perpendicular drawn from foci upon its any tangent is 9. Then find the locus of point of inte
3+5
Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions. We wish to find out the length of a vector function, r → (t) =
Find out the area of the region enclosed by y = x 2 & y =√x . Solution Firstly, just what do we mean by "area enclosed by". This means that the region we're interested in
Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati
To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2
properties
prove the the centre of a circle is twice of reference angle
classify problems in operation reseach?
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