subject
Mathematics, 13.08.2021 01:00 catzdatbloadd

Determine whether the statement below is true or false. Justify the nswer. The vector is in Rn. if || u ||^2 + || v ||^2 = || u + v ||^2, then u and v are orthogonal. A. The statement is true. By the Pythagoreanâ Theorem, two vectors u and v are orthogonal if and only if ||u+v||^2=||u||2+||v||2.
B. The statement is false. If ||u||^2+||v||^2= ||u+v||^2â, then u and v are orthogonal complements.
C. The statement is false. Two vectors u and v are orthogonal if uâ¢v=0. If ||u||^2+ ||v||^2= ||u+v||^2â, then uâ¢v=1.
D. The statement is true. By the definition of the innerâ product, two vectors u and v are orthogonal if and only if ||u+v||^2= ||u||^2+ ||v||^2.

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 16:30
If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)
Answers: 2
question
Mathematics, 21.06.2019 19:20
What is x3+3x2−16x−48 divided by x−1?
Answers: 1
question
Mathematics, 21.06.2019 19:30
Identify the number 127 as a rational or irrational. explain
Answers: 2
question
Mathematics, 21.06.2019 21:00
How do i put 3(x+7) in distributive property
Answers: 1
You know the right answer?
Determine whether the statement below is true or false. Justify the nswer. The vector is in Rn. if |...
Questions
question
Biology, 30.04.2021 23:40
question
Physics, 30.04.2021 23:40
question
Mathematics, 30.04.2021 23:40
question
Mathematics, 30.04.2021 23:40
question
Social Studies, 30.04.2021 23:40
question
Chemistry, 30.04.2021 23:40
question
Mathematics, 30.04.2021 23:40
Questions on the website: 13722367