Question Solved1 Answer Question 3 0.4 pts Determine whether the line (1+t, 2 – 2t, -1+ 3t) is parallel, orthogonal, or neither to the given plane. 1. (enter a, b, or c) a (1+t, 2 - 2t, -1+ 3t) is parallel to the plane 2x + =0. b (1+t, 2 – 2t, -1 + 3t) is orthogonal to the plane 22 +2=0. c neither 2. (enter a, b, or c) a (1+t, 2 - 21,-1+ 3t) is parallel to the plane x - 2y+32 = 1. b (1+t, 2 – 2t, -1+ 3t) is orthogonal to the plane x 2y + 3z=1. c neither

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Transcribed Image Text: Question 3 0.4 pts Determine whether the line (1+t, 2 – 2t, -1+ 3t) is parallel, orthogonal, or neither to the given plane. 1. (enter a, b, or c) a (1+t, 2 - 2t, -1+ 3t) is parallel to the plane 2x + =0. b (1+t, 2 – 2t, -1 + 3t) is orthogonal to the plane 22 +2=0. c neither 2. (enter a, b, or c) a (1+t, 2 - 21,-1+ 3t) is parallel to the plane x - 2y+32 = 1. b (1+t, 2 – 2t, -1+ 3t) is orthogonal to the plane x 2y + 3z=1. c neither
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Transcribed Image Text: Question 3 0.4 pts Determine whether the line (1+t, 2 – 2t, -1+ 3t) is parallel, orthogonal, or neither to the given plane. 1. (enter a, b, or c) a (1+t, 2 - 2t, -1+ 3t) is parallel to the plane 2x + =0. b (1+t, 2 – 2t, -1 + 3t) is orthogonal to the plane 22 +2=0. c neither 2. (enter a, b, or c) a (1+t, 2 - 21,-1+ 3t) is parallel to the plane x - 2y+32 = 1. b (1+t, 2 – 2t, -1+ 3t) is orthogonal to the plane x 2y + 3z=1. c neither
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Given parametric liue is(:1+t,2-2t,-1+3t:)Here x <= 1+t=>x-1=1y=2-2t=>x-1=t and z=-1+3t=>y-2=-2t=>z+1=3t=>(y-2)/(-2)=t Hence live is (z+1)/(3)=t(x-1)/(1)=(y-2)/(-2)=(z+1)/(3)=t(1) Hele the equation of plawe is 2x+z=0 As we know that the line (x-x_(1))/(x)=(y-y))/(b)=(z-z_(1))/(c) and plane Ax+By+Cz+d=0 are(a) perpendicular if (a)/(A)=(b)/(B)=(C)/(C)(b)" parcillel if "aA+bB+Cc=0" (C) "Here (a,b,c)=(1,-2,3)and{: ... See the full answer