(i) You are given that u = (2,3,4) and v= (-1,-1,4). Find a vector x that...

 

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(i) You are given that u = (2,3,4) and v= (-1,-1,4). Find a vector x that is orthogonal to both u* and v. Also find the equation of the plane that is determined by both u* and v. (ii) If u and v are vectors in Rn prove algebraically that II u + v || ≤ | u || + || v II. Interpret the result geometrically. (i) You are given that u = (2,3,4) and v= (-1,-1,4). Find a vector x that is orthogonal to both u* and v. Also find the equation of the plane that is determined by both u* and v. (ii) If u and v are vectors in Rn prove algebraically that II u + v || ≤ | u || + || v II. Interpret the result geometrically.

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i You are given that 2 3 4 and 1 1 4 Find a vector that is orth og onal to both and ANS WER The vector 1 2 1 is orth og onal to both and WORK ING Let ... View the full answer