PHY131H1 Lecture Notes - Dot Product, Cross Product
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PHY131H1 Full Course Notes
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1(a) find parametric equations of the line passing through (3, 1, 3) that is perpendicular to, and inter- sects, 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 .