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In: Math

1. Vector u =< 0,−1,3 > is given. Find a non zero vector v which is...

1. Vector u =< 0,−1,3 > is given. Find a non zero vector v which is perpendicular to u. Then find a vector w which is perpendicular to both u and v. Explain the reason for your selection clearly.

2. Find the slope of the tangent line to the parametric curve x = 5 + sin(3θ) and y = −3 + 2tanθ at θ = π.

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