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10 Nov 2019
I am having trouble making sence of these questions, bestanswer/explanation guaranteed points.
What point on the line y = 3x - 1 is closest to the origin in R2? What is the distance from this point to the origin? Let u and v be two non-zero vectors in R" such that the projection of u along v equals the projection of v along u . Using the formula for projection, show that u and v are either perpendicular or parallel. Consider the line y - y0 = m(x - x0) in R2. The vector v from (x0, y0) to some other point (x1, y1) on the line is obviously tangent to the line. Find a vector v tangent to the line v = 4x + 3. Find a vector that goes from the point (1,1) to the line y = 4x + 3 and meets that line at a right angle. (Hint: First f ind some vector w that goes from the point to the line. Then find the projection of w parallel and perpendicular to v.] What is the distance from (1,1) to the line y = 4x + 3 (when mathematicians say distance, we usually mean what is commonly called the shortest distance)?
I am having trouble making sence of these questions, bestanswer/explanation guaranteed points.
What point on the line y = 3x - 1 is closest to the origin in R2? What is the distance from this point to the origin? Let u and v be two non-zero vectors in R" such that the projection of u along v equals the projection of v along u . Using the formula for projection, show that u and v are either perpendicular or parallel. Consider the line y - y0 = m(x - x0) in R2. The vector v from (x0, y0) to some other point (x1, y1) on the line is obviously tangent to the line. Find a vector v tangent to the line v = 4x + 3. Find a vector that goes from the point (1,1) to the line y = 4x + 3 and meets that line at a right angle. (Hint: First f ind some vector w that goes from the point to the line. Then find the projection of w parallel and perpendicular to v.] What is the distance from (1,1) to the line y = 4x + 3 (when mathematicians say distance, we usually mean what is commonly called the shortest distance)?
1
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Lelia LubowitzLv2
27 Mar 2019