10Q33 - Name: Quiz 3 1. (6 pts) Given A(0, 2, −1), B (1,...

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Unformatted text preview: Name: Quiz 3 1. (6 pts) Given A(0, 2, −1), B (1, −1, 1), C (−2, 1, 1) find: −− →→ − → − → (a) the lengths of the vectors AB, AC and AB − 2 AC ; −− →→ (b) the dot product AB · AC ; − → − → (c) the cosine of the angle between the vectors AB and AC. 2. (6 pts) Let be the line passing through the points A(3,2) and B(4,3). (a) Find a vector orthogonal to . (b) Find the distance from the point Q(3,3) to the line . 3. (8 pts) Given the vectors u = i − 2j + k and v = −2i + k find: (a) Find the cross-product of w = u × v ; (b) Find an equation of the plane passing through the point (2, −3, 5) and parallel to the vectors u and v. ...
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This note was uploaded on 12/23/2011 for the course MATHEMATIC MATH 102 taught by Professor Plamendjakov during the Spring '10 term at Sabancı University.

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10Q33 - Name: Quiz 3 1. (6 pts) Given A(0, 2, −1), B (1,...

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