AllMyMusic 3.0.4 download. The download should start automatically in a few seconds. If it doesn't, click here to start the download process manually. Case 1 x^2+4x+30 x does not belongs to (-3,-1) Now open modules and solve the you get x=-4,-2 Here x=-2 is eliminated as it belongs to(-3,-1) So x= -4 is a solution in case 1 Case 2 x belongs to -3,-1 Open modules with -ve sign Equation we get.
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Allmymusic 3 0 1 5 X 2
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How do you find parametric equations for the line through the point (0,1,2) that is perpendicular to the line x =1 + t , y = 1 – t , z = 2t and intersects this line?
2 Answers
Explanation:
Given the line #L# and #p_1 = (0,1,2)# where
#L->p= p_0+t vec v#
where #p = (x,y,z)#, #p_0=(1,1,0)# and #vec v = (1,-1,2)# Plug and mix vip bundle 3 2 0 download free.
The elements #p_1# and #L# define a plane #Pi# with normal vector #vec n# given by
#vec n = lambda_1 (p_0-p_1) xx vec v# where #lambda_1 in RR#
The sought line #L_1 in Pi# and is orthogonal to #L# so
#L_1->p = p_1+t_1 vec v_1# where #vec v_1 = lambda_2 vec v xx vec n# with #lambda_2 in RR#
Please see the helpful video and the explanation for my solution to the problem.
Explanation:
Here is a video that helped me to know how to do this problem. Helpful Video
Lets write the vector equation of the line:
#(x,y,z) = (1, 1, 0) + t(hati - hatj + 2hatk)#
A plane that is perpendicular to this line will have the general equation:
#x - y + 2z = c#
We make it contain the point by substituting in the point and solving for c:
#0 - 1 + 2(2) = c#
#c = 3#
The plane #x - y + 2z = 3# contains the point #(0,1,2)# and is perpendicular to the line.
To find the point where the line intersects the plane, substitute the parametric equations of the line into the equation of the plane:
#x - y + 2z = 3#
#(1 + t) - (1 - t) + 2(2t) = 3#
#1 + t - 1 + t + 4t = 3#
#6t = 3#
#t = 1/2#
#x = 1 + 1/2 = 3/2#
#y = 1 - 1/2 = 1/2#
#z = 2(1/2) = 1#
The line intersects the plane at the point (3/2, 1/2, 1)
check #x - y + 2z = 3#:
#3/2 - 1/2 + 2 = 3#
#3 = 3# Doyourdata appuninser professional 5 2 download.
This checks.
The vector, #barv#, from the given point to the intersection point is:
#barv = (3/2 - 0)hati + (1/2 - 1)hatj + (1 - 2)hatk#
#barv = 3/2hati - 1/2hatj - hatk#
The vector equation of the line is:
#(x, y, z) = (0, 1, 2) + t(3/2hati - 1/2hatj - hatk)#
The parametric equations are:
#x = 3/2t#
#y = 1 - 1/2t#
Allmymusic 3 0 1 5 X 24
#z = 2 - t#