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Determine whether the points P and Q lie on the given surface.
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Chapter 16 Solutions
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- In Exercises 19 and 20, use the x, y, and z-intercepts to sketch the plane for each equation. x+2y+z=6arrow_forwardConsider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.arrow_forwardIn Exercises 13 and 14, give the vector equation of the plane passing through , and . 13.arrow_forward
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- In vector form as in Exercises 5 and 6, find an equation for the line through the point 4,1,-3 and with the direction vector 1,2,3.arrow_forwardLet v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set {v12v2,2v23v3,3v3v1} linearly dependent or linearly independent? Explain.arrow_forwardLet u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors {vu,wv,uw} is linearly independent or linearly dependent.arrow_forward
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