Let ||v||=3 then which of the following is a possible value of v?
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Given : ||v||=3
To Find : which of the following is a possible value of v
A. (1,4,0)
B. (-1,-2,0)
C. (3,3,3)
D. (2,-2,1)
Solution:
(1,4,0)
||v|| = √(1² + 4² + 0² ) = √17
(-1,-2,0)
||v|| = √((-1)² + (-2)² + 0² ) = √5
(3,3,3)
||v|| = √(3² + 3² + 3² ) = 3√3
(2,-2,1)
||v|| = √(2² + (-2)² + 1² ) = √9 = 3
(2,-2,1) is a possible value of v
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