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tut2 - ways 4 What does it mean geometrically if ~a ~ b...

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Math 136 Tutorial 2 Problems 1: Determine proj (1 , 0 , - 1) (6 , 2 , 6) and perp (1 , 0 , - 1) (6 , 2 , 6). 2: Find the distance from the point P (0 , 2 , - 1) to the plane 2 x 1 - x 3 = 5. 3: Calculate the area of the parallelogram determined by (2 , 3) and (
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Unformatted text preview: ways. 4: What does it mean geometrically if ~a · ( ~ b × ~ c ) = 0. 5: Let ~a, ~ b ∈ R n , ~a 6 = ~ 0. Prove algebraically that proj ~a ~ b · perp ~a ~ b = 0. 1...
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