IIT JEE , AIEEE Forum - Mathematics , Vectors

faith

A.dB = A.

dB ?

( bold letters are vectors ) , A is a constt vector , n dB is a diff. elt , n the integral is vector integration .LHS has dot product of the vectors before int. and RHS after int.

The eqn given in 3D ie (x-x₁) / a = (y-y₁) / b = (z-z₁) / c is a line or ray ?

luvuphysics

the 3D eqn is for a ray

faith

arent the prople at goiit answerable?

faith

???????????.........

kghedriu

I dont know anything abt integration...but for the second question....i think it represents the equation of a line....

this is because....consider the equation 2x+3y+5=0

this is the equation of a line that passes through (-5/2,0) and

(0,-5/3) which extends infinitely....

it can as well be the equation of the ray which starts at (-5/2,0) and extends only in one direction...

or i can tell it to be the equation of a line segment with end points

(-5/2,0) and (1,-7/3)

so, this represents the equation of all the three: line, ray, segment

a similar argument for 3D geometry says tht the given equation is represented for all the three" line, ray and a segment..

but, we call it generally as the equation of a line as ray and segment are the subsets of a line..

hope m clear..

Thank you..

rohitdharmik

i think the given equation is of a line.
the genral equation of line in 3D is
x-a/l=y-b/m=z-c/n

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