V. Consider the lines : = 2z 6 and m: x=-1+ 10t, y = 7t, z = 2+t. 5 1. Determine if & and m are intersecting, parallel. or skew. 2. Find an equation of the plane π containing both lines and m. 3. Find a vector perpendicular to both & and a normal vector of 7. Using dot product, show that this vector is perpendicular to any normal vector of . V
V. Consider the lines : = 2z 6 and m: x=-1+ 10t, y = 7t, z = 2+t. 5 1. Determine if & and m are intersecting, parallel. or skew. 2. Find an equation of the plane π containing both lines and m. 3. Find a vector perpendicular to both & and a normal vector of 7. Using dot product, show that this vector is perpendicular to any normal vector of . V
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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