Let ||v||=3 then which of the following is a possible value of v?

Let ||v||=3 then which of the following is a possible value of v?

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2 thoughts on “Let ||v||=3 then which of the following is a possible value of v?”

  1. 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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