Home
Answered Questions
Calculus
Determine Whether The Lines 11 And 12 Are Parallel, Coincident, Skew, Or Intersecting. If They Inter

Determine whether the lines 11 and 12 are parallel, coincident, skew, or intersecting. If they intersect, find the point of intersection: 1 : x1(t) = 3 + 2t, y?(t)=-1 +4t, (t) = 2 – t. 12 : x2(u) = 3 + 2u, v2(u) = 2 + u, z2(u) = -2 + 2u a) O Coincident b) Skew c) Intersect at (1, -5,3) d) Intersect at (-1,-1,-1) e) O Parallel but not coincident f) None of the above.
Find the unit tangent vector and the principal normal vector, and an equation in x, y, - for the osculating plane at the point on the curve corresponding to the indicated value of t. r(t) = (2)i + (2t)j+tk t=1 a) º (T - ? v7j+V7 k, N--vz + 17 k, plane: (x ? 2) =0) b) (1-5v7j+?v7k, N--5v7j+v7k, plane (12-1)--) c) • (I -- v2j- ? v2 k, N=v2j+? v2 k, plane (x - 2) =0) a) • (T-ývajt ? V7 k, N- ? V7;- ? v2k, plane: (x + 2) –0) 6) (1 - 4v7j+ ? v7k, N--ý v7i+ ? v7 k, plane (2x+4) =o) f) None of the above.