Been a protracted time because i've got completed this, probable incorrect. yet ill try. a million.) If the boat is vacationing at a fee of 4mph, however the river is offering resistance resembling 3mph, than the resultant velocity often is the forward fee (the intial velocity) takeaway the resistance. So consequently: 4 - 3 = a million. 2.) the magnitude will the entire rigidity being utilized to the boat = 700 pounds ( i think of - may be incorrect). The direction of the resultant rigidity would be interior the adverse XY plane, with the arror pointing interior the adverse x direction, yet 3 quarters down the adverse y plane. e.g. in case you probably did an ordinary -4x-4 xy plot, positioned the arrow at (-4, -3) with the arrow head pointing in the direction of what could be -5x (if this is sensible). not sure if that's right, little question somebody will tell me that's incorrect, yet magnitude is in many cases entire rigidity being utilized to an merchandise, the resultant direction often is the end results of the two the forces, draw it out like above and you may even see whats occurring,. The x cost is extra adverse than the y simply by fact the rigidity utilized is better in that axis - to a ratio 4:3, consequently x y plot of (-4, -3)
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Using the cross product, the desired perpendicular vector is
<5,-2,1> x <-3,0,-3> = <6, 12, -6>.
So, the equation of the line is
r(t) = <-3, 4, 2> + t <6, 12, -6>.
I hope this helps!
Been a protracted time because i've got completed this, probable incorrect. yet ill try. a million.) If the boat is vacationing at a fee of 4mph, however the river is offering resistance resembling 3mph, than the resultant velocity often is the forward fee (the intial velocity) takeaway the resistance. So consequently: 4 - 3 = a million. 2.) the magnitude will the entire rigidity being utilized to the boat = 700 pounds ( i think of - may be incorrect). The direction of the resultant rigidity would be interior the adverse XY plane, with the arror pointing interior the adverse x direction, yet 3 quarters down the adverse y plane. e.g. in case you probably did an ordinary -4x-4 xy plot, positioned the arrow at (-4, -3) with the arrow head pointing in the direction of what could be -5x (if this is sensible). not sure if that's right, little question somebody will tell me that's incorrect, yet magnitude is in many cases entire rigidity being utilized to an merchandise, the resultant direction often is the end results of the two the forces, draw it out like above and you may even see whats occurring,. The x cost is extra adverse than the y simply by fact the rigidity utilized is better in that axis - to a ratio 4:3, consequently x y plot of (-4, -3)