MAT223H1 Lecture : tut05
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1(a) find parametric equations of the line passing through (3, 1, 3) and perpendicular to the line passing through (3, 2, 4) and (0, 3, 5). 1(b) find an equation of the plane through ( 2, 3, 4) and perpendicular to the line through (4, 2, 5) and (0, 2, 4). What is the point on the plane closest to (2, 3, 1): consider r4 together with the standard inner product (i. e. dot produdct). 1 (a) show that set set w consisting of all vectors in r4 that are orthogonal to both x and y is a subspace of r4. (b) find a basis for w .
