Let L 1 and L 2 be the lines whose parametric equations are L 1 : x = 1 + 2 t , y = 2 − t , z = 4 − 2 t L 2 : x = 9 + t , y = 5 + 3 t , z = − 4 − t (a) Show that L 1 and L 2 intersect at the point 7 , − 1 , − 2 . (b) Find, to the nearest degree, the acute angle between L 1 and L 2 at their intersection. (c) Find parametric equations for the line that is perpendicular to L 1 and L 2 and passes through their point of intersection.
Let L 1 and L 2 be the lines whose parametric equations are L 1 : x = 1 + 2 t , y = 2 − t , z = 4 − 2 t L 2 : x = 9 + t , y = 5 + 3 t , z = − 4 − t (a) Show that L 1 and L 2 intersect at the point 7 , − 1 , − 2 . (b) Find, to the nearest degree, the acute angle between L 1 and L 2 at their intersection. (c) Find parametric equations for the line that is perpendicular to L 1 and L 2 and passes through their point of intersection.
Write the equation of the straight line through (2, −3) with slope 3/4, in the parametric form r = r0 + At.
Find parametric equations for
the line in which the planes,
X+2y-2z=5 and 5x-2y-z=0
intersects. Show that the
intersection line is parallel to the
* .line: x=-3+2t, y=3t, z=1+4t
Find the parametric equation for line l that is parallel to line m with equation: x = 1 + 4t; y = - 4 + 5t; z = -1 + 2t and the line l passes through a point Q, where Q is the intersection between line L1 and L2 following:
L1: x = 4 + t; y = 5 + t; z = -1 + 2t
L2: x = 6 + 2t; y = 11 + 4t; z = -3 + t
PLEASE HELP ME SIR, THX.
University Calculus: Early Transcendentals (4th Edition)
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