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10 Nov 2019
1a)Find the equation of the line which has a normal N=(5,3) andwhich passes through the point P(-2,1).
("N" has a little right arrow on top of it, I do not know how toput it on using my computer)
1b) Find the perpendicular distance from the point P(-4,2) tothe line 3x-4y 5=0
1c) Find the acute angle, to the nearest degree, between theplanes:
3x-6y 6z-2=0
and x 2y-2z-5=0
1d) Show the vectors u=(2,-3,1), v=(1,0,-1) and w=(7,-6,-1) arelinearly dependent. What is the geometric interpreation of thisresult?
(letters u, v and w each have a little right arrow on top. I donot know how to put it on the letters with my computer)
Show all your steps neatly please
1a)Find the equation of the line which has a normal N=(5,3) andwhich passes through the point P(-2,1).
("N" has a little right arrow on top of it, I do not know how toput it on using my computer)
1b) Find the perpendicular distance from the point P(-4,2) tothe line 3x-4y 5=0
1c) Find the acute angle, to the nearest degree, between theplanes:
3x-6y 6z-2=0
and x 2y-2z-5=0
1d) Show the vectors u=(2,-3,1), v=(1,0,-1) and w=(7,-6,-1) arelinearly dependent. What is the geometric interpreation of thisresult?
(letters u, v and w each have a little right arrow on top. I donot know how to put it on the letters with my computer)
Show all your steps neatly please
Nestor RutherfordLv2
10 Nov 2019