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Precalculus Mathematics Homework Help
Plane & 3D Vector Homework Solution
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[QUOTE="lpbg, post: 4811766, member: 516090"] [h2]Homework Statement [/h2] problem 1: given the straight line r whose equation is r=<3+2t, 4+2t, -1-t> 0.Determine A, intersection of the plane yz 0.1the parameter value at A is t= 0.2therefore A=(...,...,...) 1.we want to re-parametrize r (be u the new parameter) so that: 1.1the new direction vector e be a unit vector, then e = <...,...,...> 1.2 as u increases the x coordinates increases. it follows that e=<...,...,...> 1.3 A be the new origin point. the new equation is: r=<...,...,...> 2. Determine B and C, intersections of r with the zx and xy plane respectively. 2.1 parameter values at the two points are Ub=... Uc=... 2.2 distances AB and AC are therefore dAB=... dAC=... 2.3 Points coordinates are B= (...,...,...) C=(...,...,...) [h2]The Attempt at a Solution[/h2] A at x=0 hence 3+2t=0 therefore A at t=-3/2 point A(0,1,1/3) direction vector d=(2,2,-1) for 1.1 the formula to be applied is v/|v| but i don't know whether it should be applied to the direction vector or to the original equation. also question 1.2 is problematic for me since i don't understand what is asked for. any help is much appreciated [/QUOTE]
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